Springer, T. A. (Tonny Albert) 1926
Overview
Works:  97 works in 305 publications in 5 languages and 3,259 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Book producer, Director 
Classifications:  QA3, 512.2 
Publication Timeline
.
Most widely held works by
T. A Springer
Linear algebraic groups by
T. A Springer(
Book
)
40 editions published between 1980 and 2013 in 3 languages and held by 745 WorldCat member libraries worldwide
"[The first] ten chapters ... are an efficient, accessible, and selfcontained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for selfstudy ... the author [has a] studentfriendly style [The following] seven chapters ... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literatureappear for the first time in a text." Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites selfcontained. The material of the first ten chapters covers the contents of the old book, but the arrangement is somewhat different and there are additions, such as the basic facts about algebraic varieties and algebraic groups over a ground field, as well as an elementary treatment of Tannaka's theorem. These chapters can serve as a text for an introductory course on linear algebraic groups. The last seven chapters are new. They deal with algebraic groups over arbitrary fields. Some of the material has not been dealt with before in other texts, such as Rosenlicht's results about solvable groups in Chapter 14, the theorem of Borel and Tits on the conjugacy over the ground field of maximal split tori in an arbitrary linear algebraic group in Chapter 15, and the Tits classification of simple groups over a ground field in Chapter 17. The book includes many exercises and a subject index." Zentralblatt Math (Review of the Second Edition)
40 editions published between 1980 and 2013 in 3 languages and held by 745 WorldCat member libraries worldwide
"[The first] ten chapters ... are an efficient, accessible, and selfcontained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for selfstudy ... the author [has a] studentfriendly style [The following] seven chapters ... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literatureappear for the first time in a text." Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites selfcontained. The material of the first ten chapters covers the contents of the old book, but the arrangement is somewhat different and there are additions, such as the basic facts about algebraic varieties and algebraic groups over a ground field, as well as an elementary treatment of Tannaka's theorem. These chapters can serve as a text for an introductory course on linear algebraic groups. The last seven chapters are new. They deal with algebraic groups over arbitrary fields. Some of the material has not been dealt with before in other texts, such as Rosenlicht's results about solvable groups in Chapter 14, the theorem of Borel and Tits on the conjugacy over the ground field of maximal split tori in an arbitrary linear algebraic group in Chapter 15, and the Tits classification of simple groups over a ground field in Chapter 17. The book includes many exercises and a subject index." Zentralblatt Math (Review of the Second Edition)
Jordan algebras and algebraic groups by
T. A Springer(
Book
)
33 editions published between 1973 and 1998 in English and German and held by 572 WorldCat member libraries worldwide
From the reviews: "This book presents an important and novel approach to Jordan algebras. Jordan algebras have come to play a role in many areas of mathematics, including Lie algebras and the geometry of Chevalley groups. Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finitedimensional algebras over fields." (American Scientist) "By placing the classification of Jordan algebras in the perspective of classification of certain root systems, the book demonstrates that the structure theories associative, Lie, and Jordan algebras are not separate creations but rather instances of the one allencompassing miracle of root systems. ..." (Math. Reviews)
33 editions published between 1973 and 1998 in English and German and held by 572 WorldCat member libraries worldwide
From the reviews: "This book presents an important and novel approach to Jordan algebras. Jordan algebras have come to play a role in many areas of mathematics, including Lie algebras and the geometry of Chevalley groups. Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finitedimensional algebras over fields." (American Scientist) "By placing the classification of Jordan algebras in the perspective of classification of certain root systems, the book demonstrates that the structure theories associative, Lie, and Jordan algebras are not separate creations but rather instances of the one allencompassing miracle of root systems. ..." (Math. Reviews)
Invariant theory by
T. A Springer(
Book
)
28 editions published between 1977 and 1981 in 4 languages and held by 448 WorldCat member libraries worldwide
28 editions published between 1977 and 1981 in 4 languages and held by 448 WorldCat member libraries worldwide
Proceedings of a Conference on Local Fields; NUFFIC Summer School held at Driebergen (The Netherlands) in 1966 by
Conference on Local Fields(
Book
)
30 editions published between 1966 and 2014 in 3 languages and held by 316 WorldCat member libraries worldwide
From July 25August 6, 1966 a Summer School on Local Fields was held in Driebergen (the Netherlands), organized by the Netherlands Universities Foundation for International Cooperation (NUFFIC) with financial support from NATO. The scientific organizing Committl!e consisted ofF. VANDER BLIJ, A.H.M. LEVELT, A.F. MaNNA, J.P. MuRRE and T.A. SPRINGER. The Summer School was attended by approximately 80 mathematicians from various countries. The contributions collected in the present book are all based on the talks given at the Summer School. It is hoped that the book will serve the same purpose as the Summer School: to provide an introduction to current research in Local Fields and related topics. July 1967 T.A. SPRINGER Contents ARnN, M. and B. MAZUR: Homotopy of Varieties in the Etale Topology 1 BAss, H: The Congruence Subgroup Problem 16 BRUHAT, F. et J. TITs: Groupes algebriques simples sur un corps local . 23 CASSELS, J.W.S. : Elliptic Curves over Local Fields 37 DwoRK, B. : On the Rationality of Zeta Functions and LSeries 40 MaNNA, A.F. : Linear Topological Spaces over NonArchimedean Valued Fields . 56 NERON, A. : Modeles minimaux des espaces principaux homo genes sur les courbes elliptiques 66 RAYNAUD, M. : Passage au quotient par une relation d'equivalence plate . 78 REMMERT, R. : Algebraische Aspekte in der nichtarchimedischen Analysis . 86 SERRE, J.P. : Sur les groupes de Galois attaches aux groupes pdivisibles . 118 SWINNERTONDYER, P. : The Conjectures of Birch and Swinnerton Dyer, and of Tate . 132 TATE, J.T
30 editions published between 1966 and 2014 in 3 languages and held by 316 WorldCat member libraries worldwide
From July 25August 6, 1966 a Summer School on Local Fields was held in Driebergen (the Netherlands), organized by the Netherlands Universities Foundation for International Cooperation (NUFFIC) with financial support from NATO. The scientific organizing Committl!e consisted ofF. VANDER BLIJ, A.H.M. LEVELT, A.F. MaNNA, J.P. MuRRE and T.A. SPRINGER. The Summer School was attended by approximately 80 mathematicians from various countries. The contributions collected in the present book are all based on the talks given at the Summer School. It is hoped that the book will serve the same purpose as the Summer School: to provide an introduction to current research in Local Fields and related topics. July 1967 T.A. SPRINGER Contents ARnN, M. and B. MAZUR: Homotopy of Varieties in the Etale Topology 1 BAss, H: The Congruence Subgroup Problem 16 BRUHAT, F. et J. TITs: Groupes algebriques simples sur un corps local . 23 CASSELS, J.W.S. : Elliptic Curves over Local Fields 37 DwoRK, B. : On the Rationality of Zeta Functions and LSeries 40 MaNNA, A.F. : Linear Topological Spaces over NonArchimedean Valued Fields . 56 NERON, A. : Modeles minimaux des espaces principaux homo genes sur les courbes elliptiques 66 RAYNAUD, M. : Passage au quotient par une relation d'equivalence plate . 78 REMMERT, R. : Algebraische Aspekte in der nichtarchimedischen Analysis . 86 SERRE, J.P. : Sur les groupes de Galois attaches aux groupes pdivisibles . 118 SWINNERTONDYER, P. : The Conjectures of Birch and Swinnerton Dyer, and of Tate . 132 TATE, J.T
Octonions, Jordan algebras, and exceptional groups by
T. A Springer(
Book
)
14 editions published between 2000 and 2011 in English and held by 263 WorldCat member libraries worldwide
"The 1963 Gottingen notes of T.A. Springer are wellknown in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra. In the grouptheoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It suitable for use in a graduate course in algebra."Jacket
14 editions published between 2000 and 2011 in English and held by 263 WorldCat member libraries worldwide
"The 1963 Gottingen notes of T.A. Springer are wellknown in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra. In the grouptheoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It suitable for use in a graduate course in algebra."Jacket
Algebraische Transformationsgruppen und Invariantentheorie = Algebraic transformation groups and invariant theory by
Deutsche MathematikerVereinigung(
Book
)
11 editions published in 1989 in 3 languages and held by 206 WorldCat member libraries worldwide
11 editions published in 1989 in 3 languages and held by 206 WorldCat member libraries worldwide
Selecta by
Hans Freudenthal(
Book
)
9 editions published in 2009 in German and English and held by 69 WorldCat member libraries worldwide
Hans Freudenthal (19051990) was a Dutch mathematician, born in Luckenwalde, Germany. His scientific activities were of a rich variety. Enrolling at the University of Berlin as a student in the 1920s, he followed in the footsteps of his teachers, and became a topologist, but with a lively interest in group theory. Later in life, after a long journey through the realm of mathematics, working on almost all subjects that drew his interest, he turned towards the practical and methodological issues of the didactics of mathematics. The present Selecta are devoted to Freudenthal's mathematical oeuvre, they contain a selection of his major contributions. Included are fundamental contributions to topology such as the foundation of the theory of ends (in the thesis of 1931), the introduction (in 1937) of the suspension and its use in stability results for homotopy groups of spheres. In group theory there is work on topological groups (of the 1930s) and on various aspects of the theory of Lie groups, such as a paper on automorphisms of 1941. From the later work of the 1950s and 1960s, papers on geometric aspects of Lie theory (geometries associated to exceptional groups, space problems) have been included. Freudenthal's versatility is further demonstrated by a choice from his foundational and historical work: papers on intuitionistic logic and topology, a paper on axiomatic geometry reappraising Hilbert's Grundlagen, and a paper summarizing his development of Lincos, a universal ("cosmic") language. The book also contains a sketch of Freudenthal's life. Most of the selected papers are accompanied by brief comments
9 editions published in 2009 in German and English and held by 69 WorldCat member libraries worldwide
Hans Freudenthal (19051990) was a Dutch mathematician, born in Luckenwalde, Germany. His scientific activities were of a rich variety. Enrolling at the University of Berlin as a student in the 1920s, he followed in the footsteps of his teachers, and became a topologist, but with a lively interest in group theory. Later in life, after a long journey through the realm of mathematics, working on almost all subjects that drew his interest, he turned towards the practical and methodological issues of the didactics of mathematics. The present Selecta are devoted to Freudenthal's mathematical oeuvre, they contain a selection of his major contributions. Included are fundamental contributions to topology such as the foundation of the theory of ends (in the thesis of 1931), the introduction (in 1937) of the suspension and its use in stability results for homotopy groups of spheres. In group theory there is work on topological groups (of the 1930s) and on various aspects of the theory of Lie groups, such as a paper on automorphisms of 1941. From the later work of the 1950s and 1960s, papers on geometric aspects of Lie theory (geometries associated to exceptional groups, space problems) have been included. Freudenthal's versatility is further demonstrated by a choice from his foundational and historical work: papers on intuitionistic logic and topology, a paper on axiomatic geometry reappraising Hilbert's Grundlagen, and a paper summarizing his development of Lincos, a universal ("cosmic") language. The book also contains a sketch of Freudenthal's life. Most of the selected papers are accompanied by brief comments
Over symplectische transformaties by
T. A Springer(
Book
)
8 editions published in 1951 in 3 languages and held by 38 WorldCat member libraries worldwide
8 editions published in 1951 in 3 languages and held by 38 WorldCat member libraries worldwide
Ausarbeitung der Vorlesung über Oktaven, JordanAlgebren und Ausnahmegruppen by
T. A Springer(
Book
)
6 editions published in 1963 in German and held by 27 WorldCat member libraries worldwide
6 editions published in 1963 in German and held by 27 WorldCat member libraries worldwide
Algebraic groups : Utrecht 1986 : proceedings of a symposium in honour of T.A. Springer by
Arjeh M Cohen(
Book
)
6 editions published in 1987 in English and Undetermined and held by 25 WorldCat member libraries worldwide
From 14 April 1986 a Symposium on Algebraic Groups was held at the University of Utrecht, The Netherlands, in celebration of the 350th birthday of the University and the 60th of T.A. Springer. Recognized leaders in the field of algebraic groups and related areas gave lectures which covered wide and central areas of mathematics. Though the fourteen papers in this volume are mostly original research contributions, some survey articles are included. Centering on the Symposium subject, such diverse topics are covered as Discrete Subgroups of Lie Groups, Invariant Theory, Dmodules, Lie Algebras, Special Functions, Group Actions on Varieties
6 editions published in 1987 in English and Undetermined and held by 25 WorldCat member libraries worldwide
From 14 April 1986 a Symposium on Algebraic Groups was held at the University of Utrecht, The Netherlands, in celebration of the 350th birthday of the University and the 60th of T.A. Springer. Recognized leaders in the field of algebraic groups and related areas gave lectures which covered wide and central areas of mathematics. Though the fourteen papers in this volume are mostly original research contributions, some survey articles are included. Centering on the Symposium subject, such diverse topics are covered as Discrete Subgroups of Lie Groups, Invariant Theory, Dmodules, Lie Algebras, Special Functions, Group Actions on Varieties
Ausarbeitung der Vorlesung über Oktaven, JordanAlgebren und Ausnahmegruppen, gehalten by
T. A Springer(
Book
)
2 editions published in 1963 in German and held by 22 WorldCat member libraries worldwide
2 editions published in 1963 in German and held by 22 WorldCat member libraries worldwide
Hoofdstukken uit de combinatoriek by
P. W. H Lemmens(
Book
)
4 editions published between 1992 and 2006 in Dutch and held by 19 WorldCat member libraries worldwide
4 editions published between 1992 and 2006 in Dutch and held by 19 WorldCat member libraries worldwide
On the structure of the GL2 of a ring by
P. M Cohn(
Book
)
6 editions published in 1966 in English and held by 18 WorldCat member libraries worldwide
6 editions published in 1966 in English and held by 18 WorldCat member libraries worldwide
Over de ontwikkeling van de algebra by
T. A Springer(
Book
)
3 editions published in 1958 in Dutch and held by 13 WorldCat member libraries worldwide
3 editions published in 1958 in Dutch and held by 13 WorldCat member libraries worldwide
Algebraic Groups, Utrecht, nineteen hundred and eightysix 1986 : proceedings of a symposium in honour of T.A. Springer by
Utrecht) Symposium in Honour of T.A. Springer (1986(
Book
)
1 edition published in 1987 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 11 WorldCat member libraries worldwide
Oktaven, JordanAlgebren und Ausnahmegruppen, Ausarbeitung der Vorlesung ... gehalten by
T. A Springer(
Book
)
4 editions published in 1963 in German and Undetermined and held by 11 WorldCat member libraries worldwide
4 editions published in 1963 in German and Undetermined and held by 11 WorldCat member libraries worldwide
Oktaven, JordanAlgebren und Ausnahmegruppen : Ausarbeitung der Vorlesung, gehalten im Math. Inst. d. Univ. Göttingen SS
1963 by
T. A Springer(
Book
)
3 editions published in 1963 in German and held by 7 WorldCat member libraries worldwide
3 editions published in 1963 in German and held by 7 WorldCat member libraries worldwide
Seminar on algebraic groups and related finite groups, held at the Institute for Advanced Study, Princeton/NJ, 1968/69 by
Princeton, NJ> Seminar on Algebraic Groups and Related Finite Groups. <1968  1969(
)
4 editions published in 1970 in English and Undetermined and held by 6 WorldCat member libraries worldwide
4 editions published in 1970 in English and Undetermined and held by 6 WorldCat member libraries worldwide
The Bruhat order on symmetric varieties by
R. W Richardson(
Book
)
4 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
4 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
Automatic water quality monitoring of two lotic ecosystems in the Atlantic Region by
Sylvie C Roussel(
Book
)
4 editions published in 1988 in English and held by 4 WorldCat member libraries worldwide
Automatic Water Quality Monitors (AWQMs) provide high frequency surveillance of aquatic systems. AWQMs were installed at the Big Presque Isle Stream (N.B.) from May to September 1986 and at the Mersey River (N.S.) from October 1986 to April 1987. Parameters measured at the Big Presque Isle Stream included dissolved oxygen, pH, specific conductance, water temperature, air temperature and photosynthetic active radiation, while at the Mersey River, they were limited to pH, conductivity, water temperature and air temperature. The ability of AWQMs to collect reliable data in two different lotic ecosystems, exposed to many inclemencies such as algal growth, ice formation and cold water temperature, was also evaluated
4 editions published in 1988 in English and held by 4 WorldCat member libraries worldwide
Automatic Water Quality Monitors (AWQMs) provide high frequency surveillance of aquatic systems. AWQMs were installed at the Big Presque Isle Stream (N.B.) from May to September 1986 and at the Mersey River (N.S.) from October 1986 to April 1987. Parameters measured at the Big Presque Isle Stream included dissolved oxygen, pH, specific conductance, water temperature, air temperature and photosynthetic active radiation, while at the Mersey River, they were limited to pH, conductivity, water temperature and air temperature. The ability of AWQMs to collect reliable data in two different lotic ecosystems, exposed to many inclemencies such as algal growth, ice formation and cold water temperature, was also evaluated
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Veldkamp, Ferdinand D. 19311999
 Stichting voor Internationale Samenwerking der Nederlandse Universiteiten en Hogescholen
 Slodowy, Peter Editor
 Kraft, Hanspeter 1944 Editor
 Deutsche MathematikerVereinigung
 Dalen, D. van (Dirk) 1932 Editor
 Freudenthal, Hans 19051990 Author
 European Mathematical Society
 Eysenbach, P.
 Cohen, Arjeh M. Editor
Useful Links
Associated Subjects
Algebra Algebra, Universal Algebraic fields Alternative rings Cayley numbers (Algebra) Combinatorial analysis Field theory (Physics) Finite groups Finite simple groups Geometry Geometry, Algebraic Group theory Invariants Jordan algebras Lie algebras Lie groups Linear algebraic groups Local fields (Algebra) Mathematics Matrices Nonassociative algebras Number theory Representations of groups Rings (Algebra) Semisimple Lie groups Springer, T. A.(Tonny Albert), Symmetric functions Symmetric spaces Topological groups Transformation groups Transformations (Mathematics)
Alternative Names
Springer, T.
Springer, T. A.
Springer, T. A. 1926
Springer, T. A., 19262011
Springer, Timothy A.
Springer, Tonny A.
Springer, Tonny Albert
Springer, Tonny Albert 1926
Springer, Tonny Albert 19262011
T. A. Springer Dutch mathematician
T. A. Springer nederlandsk matematikar
T. A. Springer nederländsk matematiker
Tonny Albert Springer niederländischer Mathematiker
Спрингер, Т..
Languages
Covers