Bass, Hyman 1932
Overview
Works:  90 works in 411 publications in 5 languages and 12,168 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other, Degree grantor, Dedicatee, Thesis advisor, Compiler 
Classifications:  QA3, 512 
Publication Timeline
.
Most widely held works about
Hyman Bass
 Special issue in honor of Hyman Bass on his seventieth birthday( Book )
 Bass, Hyman : Mathematics( )
Most widely held works by
Hyman Bass
Algebraic Ktheory by
Hyman Bass(
Book
)
9 editions published between 1968 and 1973 in English and Russian and held by 470 WorldCat member libraries worldwide
9 editions published between 1968 and 1973 in English and Russian and held by 470 WorldCat member libraries worldwide
Linear algebraic groups by
Armand Borel(
Book
)
6 editions published in 1969 in English and held by 422 WorldCat member libraries worldwide
This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally's structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over nonalgebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs
6 editions published in 1969 in English and held by 422 WorldCat member libraries worldwide
This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally's structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over nonalgebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs
The Smith conjecture by
John Morgan(
Book
)
15 editions published in 1984 in English and Undetermined and held by 386 WorldCat member libraries worldwide
15 editions published in 1984 in English and Undetermined and held by 386 WorldCat member libraries worldwide
Contributions to algebra : a collection of papers dedicated to Ellis Kolchin by
E. R Kolchin(
Book
)
11 editions published in 1977 in English and held by 355 WorldCat member libraries worldwide
11 editions published in 1977 in English and held by 355 WorldCat member libraries worldwide
Introduction to some methods of algebraic Ktheory by
Hyman Bass(
Book
)
19 editions published between 1973 and 1979 in English and held by 352 WorldCat member libraries worldwide
19 editions published between 1973 and 1979 in English and held by 352 WorldCat member libraries worldwide
Cyclic renormalization and automorphism groups of rooted trees by
Hyman Bass(
Book
)
24 editions published between 1995 and 1996 in English and Undetermined and held by 337 WorldCat member libraries worldwide
The theme of the monograph is an interplay between dynamical systems and group theory. The authors formalize and study "cyclic renormalization", a phenomenon which appears naturally for some interval dynamical systems. A possibly infinite hierarchy of such renormalizations is naturally represented by a rooted tree, together with a "spherically transitive" automorphism; the infinite case corresponds to maps with an invariant Cantor set, a class of particular interest for its relevance to the description of the transition to chaos and of the Mandelbrot set. The normal subgroup structure of the automorphism group of such "spherically homogeneous" rooted trees is investigated in some detail. This work will be of interest to researchers in both dynamical systems and group theory
24 editions published between 1995 and 1996 in English and Undetermined and held by 337 WorldCat member libraries worldwide
The theme of the monograph is an interplay between dynamical systems and group theory. The authors formalize and study "cyclic renormalization", a phenomenon which appears naturally for some interval dynamical systems. A possibly infinite hierarchy of such renormalizations is naturally represented by a rooted tree, together with a "spherically transitive" automorphism; the infinite case corresponds to maps with an invariant Cantor set, a class of particular interest for its relevance to the description of the transition to chaos and of the Mandelbrot set. The normal subgroup structure of the automorphism group of such "spherically homogeneous" rooted trees is investigated in some detail. This work will be of interest to researchers in both dynamical systems and group theory
Algebraic Ktheory: [proceedings of the conference held at the Seattle Research Center of the Battelle Memorial Inst., from
Aug. 28 to Sept. 3, 1972 by
Hyman Bass(
Book
)
22 editions published between 1972 and 1986 in 3 languages and held by 325 WorldCat member libraries worldwide
22 editions published between 1972 and 1986 in 3 languages and held by 325 WorldCat member libraries worldwide
Measuring what counts : a conceptual guide for mathematics assessment by
National Research Council (U.S.)(
Book
)
12 editions published in 1993 in English and held by 324 WorldCat member libraries worldwide
12 editions published in 1993 in English and held by 324 WorldCat member libraries worldwide
Tree lattices by
Hyman Bass(
Book
)
17 editions published between 2000 and 2011 in English and held by 312 WorldCat member libraries worldwide
Group actions on trees furnish a unified geometric way of recasting the chapter of combinatorial group theory dealing with free groups, amalgams, and HNN extensions. Some of the principal examples arise from rank one simple Lie groups over a nonarchimedean local field acting on their BruhatTits trees. In particular this leads to a powerful method for studying lattices in such Lie groups. This monograph extends this approach to the more general investigation of Xlattices G, where Xis a locally finite tree and G is a discrete group of automorphisms of X of finite covolume. These "tree lattices" are the main object of study. Special attention is given to both parallels and contrasts with the case of Lie groups. Beyond the Lie group connection, the theory has application to combinatorics and number theory. The authors present a coherent survey of the results on uniform tree lattices, and a (previously unpublished) development of the theory of nonuniform tree lattices, including some fundamental and recently proved existence theorems. Nonuniform tree lattices are much more complicated than uniform ones; thus a good deal of attention is given to the construction and study of diverse examples. The fundamental technique is the encoding of tree action in terms of the corresponding quotient "graphs of groups." Tree Lattices should be a helpful resource to researcher sin the field, and may also be used for a graduate course on geometric methods in group theory
17 editions published between 2000 and 2011 in English and held by 312 WorldCat member libraries worldwide
Group actions on trees furnish a unified geometric way of recasting the chapter of combinatorial group theory dealing with free groups, amalgams, and HNN extensions. Some of the principal examples arise from rank one simple Lie groups over a nonarchimedean local field acting on their BruhatTits trees. In particular this leads to a powerful method for studying lattices in such Lie groups. This monograph extends this approach to the more general investigation of Xlattices G, where Xis a locally finite tree and G is a discrete group of automorphisms of X of finite covolume. These "tree lattices" are the main object of study. Special attention is given to both parallels and contrasts with the case of Lie groups. Beyond the Lie group connection, the theory has application to combinatorics and number theory. The authors present a coherent survey of the results on uniform tree lattices, and a (previously unpublished) development of the theory of nonuniform tree lattices, including some fundamental and recently proved existence theorems. Nonuniform tree lattices are much more complicated than uniform ones; thus a good deal of attention is given to the construction and study of diverse examples. The fundamental technique is the encoding of tree action in terms of the corresponding quotient "graphs of groups." Tree Lattices should be a helpful resource to researcher sin the field, and may also be used for a graduate course on geometric methods in group theory
Algebra, Ktheory, groups, and education : on the occasion of Hyman Bass's 65th birthday(
Book
)
10 editions published between 1999 and 2000 in English and held by 217 WorldCat member libraries worldwide
10 editions published between 1999 and 2000 in English and held by 217 WorldCat member libraries worldwide
Lectures on topics in algebraic ktheory by
Hyman Bass(
Book
)
8 editions published in 1967 in English and held by 179 WorldCat member libraries worldwide
8 editions published in 1967 in English and held by 179 WorldCat member libraries worldwide
Hermitian KTheory and Geometric Applications : Proceedings of the Conference held at the Seattle Research Center of the Battelle
Memorial Institute, from August 28 to September 8, 1972 by
Hyman Bass(
)
20 editions published in 1973 in English and Undetermined and held by 147 WorldCat member libraries worldwide
20 editions published in 1973 in English and Undetermined and held by 147 WorldCat member libraries worldwide
Higher KTheories : Proceedings of the Conference held at the Seattle Research Center of the Battelle Memorial Institute,
from August 28 to September 8, 1972 by
Hyman Bass(
)
18 editions published in 1973 in 3 languages and held by 134 WorldCat member libraries worldwide
18 editions published in 1973 in 3 languages and held by 134 WorldCat member libraries worldwide
Selected works of Ellis Kolchin with commentary by
E. R Kolchin(
Book
)
7 editions published in 1999 in English and held by 130 WorldCat member libraries worldwide
7 editions published in 1999 in English and held by 130 WorldCat member libraries worldwide
Algebraic Ktheory and its applications : proceedings of the workshop and symposium : ICTP, Trieste, Italy, 119 September
1997(
Book
)
4 editions published in 1999 in English and held by 121 WorldCat member libraries worldwide
4 editions published in 1999 in English and held by 121 WorldCat member libraries worldwide
Studying classroom teaching as a medium for professional development : proceedings of a U.S.Japan workshop by
Hyman Bass(
Book
)
12 editions published in 2002 in English and held by 120 WorldCat member libraries worldwide
Annotation
12 editions published in 2002 in English and held by 120 WorldCat member libraries worldwide
Annotation
Trees by
JeanPierre Serre(
Book
)
15 editions published between 1977 and 1983 in French and held by 111 WorldCat member libraries worldwide
The present book is an English translation of "Arbres, Amalgames, SL(2)", published in 1977 by JP. Serre, and written with the collaboration of H. Bass. The first chapter describes the "arboreal dictionary" between graphs of groups and group actions on trees. The second chapter gives applications to the BruhatTits tree of SL(2) over a local field
15 editions published between 1977 and 1983 in French and held by 111 WorldCat member libraries worldwide
The present book is an English translation of "Arbres, Amalgames, SL(2)", published in 1977 by JP. Serre, and written with the collaboration of H. Bass. The first chapter describes the "arboreal dictionary" between graphs of groups and group actions on trees. The second chapter gives applications to the BruhatTits tree of SL(2) over a local field
Classical algebraic Ktheory and connections with arithmetic by
Hyman Bass(
Book
)
31 editions published between 1973 and 1986 in 3 languages and held by 110 WorldCat member libraries worldwide
31 editions published between 1973 and 1986 in 3 languages and held by 110 WorldCat member libraries worldwide
Measuring what counts : a policy brief by
National Research Council (U.S.)(
Book
)
7 editions published in 1993 in English and held by 44 WorldCat member libraries worldwide
7 editions published in 1993 in English and held by 44 WorldCat member libraries worldwide
Mathematics and science education around the world : what can we learn from the Survey of Mathematics and Science Opportunities
(SMSO) and the Third International Mathematics and Science Study (TIMSS)?(
Book
)
11 editions published in 1996 in English and held by 39 WorldCat member libraries worldwide
11 editions published in 1996 in English and held by 39 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 National Research Council (U.S.). Mathematical Sciences Education Board
 Kahle, Jane Butler
 National Research Council (U.S.). Committee on Science Education K12
 Center for Science, Mathematics, and Engineering Education
 Burrill, Gail
 Usiskin, Zalman
 United States National Commission on Mathematics Instruction
 Kolchin, E. R. (Ellis Robert) 1916 Honoree Author
 Morgan, John 1946 March 21 Author Editor
 Cassidy, Phyllis J. (Phyllis Joan) 1934 Editor
Useful Links
Associated Subjects
Algebra Algebraic topology Arithmetic Associative rings Authors Automorphisms Awards Canada Categories (Mathematics) Cell aggregationMathematics College administrators College teachers Combinatorial analysis Commutative rings Diffeomorphisms Differentiable dynamical systems Differential algebra Editors Educational assistance Field theory (Physics) Finite groups Fixed point theory Free groups Geometry, Algebraic Global analysis (Mathematics) Group theory Homology theory Japan Kolchin, E. R.(Ellis Robert), Ktheory Lecturers Lie groups Linear algebraic groups Mathematical abilityTesting Mathematics MathematicsStudy and teaching MathematicsStudy and teaching (Elementary) MathematicsStudy and teachingEvaluation Modules (Algebra) Research Rings (Algebra) ScienceStudy and teachingEvaluation Scientists Teachers Threemanifolds (Topology) Topological groups Trees (Graph theory) United States Universities and collegesFaculty
Alternative Names
Bass, Ch.
Bass, Ch. 1932
Bass, H.
Bass, H. 1932
Bass, H. (Hyman), 1932
Bass, Hyman
Hyman Bass Amerikaans wiskundige
Hyman Bass amerikansk matematikar
Hyman Bass amerikansk matematiker
Hyman Bass matematico statunitense
Hyman Bass mathématicien américain
Hyman Bass USamerikanischer Mathematiker
Hymann Bass
Басс, Х..
هيمان باس
하이먼 배스
ハイマン・バス
Languages
Covers