Springer, T. A. (Tonny Albert) 1926
Overview
Works:  106 works in 273 publications in 5 languages and 3,378 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Honoree, Book producer 
Classifications:  QA171, 512.2 
Publication Timeline
.
Most widely held works about
T. A Springer
Most widely held works by
T. A Springer
Linear algebraic groups
by
T. A Springer(
Book
)
34 editions published between 1980 and 2009 in 3 languages and held by 728 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)
34 editions published between 1980 and 2009 in 3 languages and held by 728 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
)
29 editions published between 1973 and 1998 in 3 languages and held by 569 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)
29 editions published between 1973 and 1998 in 3 languages and held by 569 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
)
19 editions published in 1977 in 3 languages and held by 544 WorldCat member libraries worldwide
19 editions published in 1977 in 3 languages and held by 544 WorldCat member libraries worldwide
Algebraic groups : Utrecht 1986 : proceedings of a symposium in honour of T.A. Springer
by
Arjeh M Cohen(
Book
)
9 editions published in 1987 in English and held by 409 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
9 editions published in 1987 in English and held by 409 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
Proceedings of a Conference on Local Fields; NUFFIC Summer School held at Driebergen (The Netherlands) in 1966
by
T. A Springer(
Book
)
13 editions published between 1967 and 2014 in English and held by 296 WorldCat member libraries worldwide
13 editions published between 1967 and 2014 in English and held by 296 WorldCat member libraries worldwide
Octonions, Jordan algebras, and exceptional groups
by
T. A Springer(
Book
)
11 editions published between 2000 and 2011 in English and held by 269 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
11 editions published between 2000 and 2011 in English and held by 269 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
)
10 editions published in 1989 in 3 languages and held by 198 WorldCat member libraries worldwide
10 editions published in 1989 in 3 languages and held by 198 WorldCat member libraries worldwide
Selecta
by
Hans Freudenthal(
Book
)
6 editions published in 2009 in German and English and held by 70 WorldCat member libraries worldwide
6 editions published in 2009 in German and English and held by 70 WorldCat member libraries worldwide
Ausarbeitung der Vorlesung über Oktaven, JordanAlgebren und Ausnahmegruppen
by
T. A Springer(
Book
)
8 editions published in 1963 in German and held by 50 WorldCat member libraries worldwide
8 editions published in 1963 in German and held by 50 WorldCat member libraries worldwide
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
Hoofdstukken uit de combinatoriek
by
P. W. H Lemmens(
Book
)
4 editions published between 1992 and 2006 in Dutch and held by 18 WorldCat member libraries worldwide
4 editions published between 1992 and 2006 in Dutch and held by 18 WorldCat member libraries worldwide
Over de ontwikkeling van de algebra
by
T. A Springer(
Book
)
2 editions published in 1958 in Dutch and held by 12 WorldCat member libraries worldwide
2 editions published in 1958 in Dutch and held by 12 WorldCat member libraries worldwide
Oktaven, JordanAlgebren und Ausnahmegruppen, Ausarbeitung der Vorlesung ... gehalten
by
T. A Springer(
Book
)
5 editions published in 1963 in 3 languages and held by 11 WorldCat member libraries worldwide
5 editions published in 1963 in 3 languages and held by 11 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 8 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 8 WorldCat member libraries worldwide
Proceedings of a conference on local fields : NUFFIC summer school held at Driebergen (The Netherlands) [from July 25  Aug. 6,] 1966
(
Book
)
1 edition published in 1967 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1967 in English and held by 7 WorldCat member libraries worldwide
On the structure of the GL2 of a ring
by
P. M Cohn(
Book
)
3 editions published in 1966 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1966 in English and held by 7 WorldCat member libraries worldwide
Hans Freudenthal: Selecta
by
Hans Freudenthal(
Book
)
3 editions published in 2009 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 2009 in English and held by 7 WorldCat member libraries worldwide
Algebraic Groups Utrecht 1986 : proceedings of a Symposium in Honour of T. A. Springer; (at the University of Utrecht from 1  4 April, 1986, Utrecht) : (auch: A Symposium on Algebraic Groups)
(
Book
)
2 editions published in 1987 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 1987 in English and held by 7 WorldCat member libraries worldwide
Teorii︠a︡ invariantov
by
T. A Springer(
Book
)
4 editions published in 1981 in Russian and held by 6 WorldCat member libraries worldwide
4 editions published in 1981 in Russian and held by 6 WorldCat member libraries worldwide
Proceedings of a Conference on Local Fields
by
T. A Springer(
Book
)
3 editions published between 1966 and 1967 in English and Undetermined and held by 5 WorldCat member libraries worldwide
3 editions published between 1966 and 1967 in English and Undetermined and held by 5 WorldCat member libraries worldwide
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Related Identities
 Cohen, Arjeh M. Editor
 Veldkamp, Ferdinand D. 19311999
 Stichting voor Internationale Samenwerking der Nederlandse Universiteiten en Hogescholen
 Slodowy, Peter Editor
 Kraft, Hanspeter 1944 Editor
 Deutsche MathematikerVereinigung
 Freudenthal, Hans 19051990 Author
 Dalen, D. van (Dirk) 1932 Editor
 European Mathematical Society
 Eysenbach, P.
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebra, Universal Algebraic fields Alternative rings Cayley numbers (Algebra) Combinatorial analysis Group theory Invariants Jordan algebras Lie algebras Lie groups Linear algebraic groups Local fields (Algebra) Mathematics Matrices Nonassociative algebras Number theory Rings (Algebra) Semisimple Lie groups Topological groups Transformation groups Transformations (Mathematics)
Alternative Names
Springer, T.
Springer, T. A.
Springer, T. A. 1926
Springer, Timothy A.
Springer, Tonny A.
Springer, Tonny Albert
Springer, Tonny Albert 1926
Springer, Tonny Albert 19262011
Спрингер, Т..
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