Bass, Hyman 1932
Overview
Works:  118 works in 368 publications in 5 languages and 10,530 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Honoree, Artist, Dedicatee, Thesis advisor 
Classifications:  QA13, 510.712 
Publication Timeline
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Most widely held works about
Hyman Bass
 Bass, Hyman: Mathematics ( )
 Special issue in honor of Hyman Bass on his seventieth birthday ( Book )
Most widely held works by
Hyman Bass
Measuring what counts a conceptual guide for mathematics assessment
by
National Research Council (U.S.)(
)
8 editions published in 1993 in English and held by 1,716 WorldCat member libraries worldwide
8 editions published in 1993 in English and held by 1,716 WorldCat member libraries worldwide
Measuring what counts a policy brief
by
National Research Council (U.S.)(
)
6 editions published in 1993 in English and held by 1,406 WorldCat member libraries worldwide
6 editions published in 1993 in English and held by 1,406 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)?
(
)
8 editions published in 1996 in English and held by 1,374 WorldCat member libraries worldwide
8 editions published in 1996 in English and held by 1,374 WorldCat member libraries worldwide
Studying classroom teaching as a medium for professional development proceedings of a U.S.Japan workshop
(
)
10 editions published in 2002 in English and held by 1,153 WorldCat member libraries worldwide
Annotation
10 editions published in 2002 in English and held by 1,153 WorldCat member libraries worldwide
Annotation
Algebraic Ktheory
by
Hyman Bass(
Book
)
42 editions published between 1968 and 1980 in 5 languages and held by 967 WorldCat member libraries worldwide
42 editions published between 1968 and 1980 in 5 languages and held by 967 WorldCat member libraries worldwide
The Smith conjecture
by
John Morgan(
Book
)
13 editions published in 1984 in English and Undetermined and held by 531 WorldCat member libraries worldwide
13 editions published in 1984 in English and Undetermined and held by 531 WorldCat member libraries worldwide
Cyclic renormalization and automorphism groups of rooted trees
by
Hyman Bass(
Book
)
20 editions published between 1995 and 1996 in English and held by 450 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
20 editions published between 1995 and 1996 in English and held by 450 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
Linear algebraic groups
by
Armand Borel(
Book
)
5 editions published in 1969 in English and held by 421 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
5 editions published in 1969 in English and held by 421 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
Contributions to algebra : a collection of papers dedicated to Ellis Kolchin
by
Hyman Bass(
Book
)
10 editions published between 1977 and 2014 in English and held by 352 WorldCat member libraries worldwide
10 editions published between 1977 and 2014 in English and held by 352 WorldCat member libraries worldwide
Introduction to some methods of algebraic Ktheory
by
Hyman Bass(
Book
)
13 editions published between 1974 and 1979 in English and held by 326 WorldCat member libraries worldwide
13 editions published between 1974 and 1979 in English and held by 326 WorldCat member libraries worldwide
Tree lattices
by
Hyman Bass(
Book
)
11 editions published between 2000 and 2001 in English and held by 318 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
11 editions published between 2000 and 2001 in English and held by 318 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
)
9 editions published in 1999 in English and held by 225 WorldCat member libraries worldwide
9 editions published in 1999 in English and held by 225 WorldCat member libraries worldwide
Lectures on topics in algebraic ktheory
by
Hyman Bass(
Book
)
7 editions published in 1967 in English and held by 178 WorldCat member libraries worldwide
7 editions published in 1967 in English and held by 178 WorldCat member libraries worldwide
Selected works of Ellis Kolchin with commentary
by
E. R Kolchin(
Book
)
5 editions published in 1999 in English and held by 126 WorldCat member libraries worldwide
5 editions published in 1999 in English and held by 126 WorldCat member libraries worldwide
Algebraic Ktheory and its applications : proceedings of the workshop and symposium : ICTP, Trieste, Italy, 119 September 1997
by
Workshop Algebraic KTheory and Its Applications(
Book
)
4 editions published in 1999 in English and held by 119 WorldCat member libraries worldwide
4 editions published in 1999 in English and held by 119 WorldCat member libraries worldwide
Trees
by
JeanPierre Serre(
Book
)
11 editions published between 1977 and 1983 in French and held by 102 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
11 editions published between 1977 and 1983 in French and held by 102 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
Algebra
by
John W Milnor(
Book
)
6 editions published between 2010 and 2011 in English and held by 94 WorldCat member libraries worldwide
6 editions published between 2010 and 2011 in English and held by 94 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 Battelle Memorial Institute Conference(
Book
)
11 editions published in 1973 in 3 languages and held by 78 WorldCat member libraries worldwide
11 editions published in 1973 in 3 languages and held by 78 WorldCat member libraries worldwide
Classical algebraic Ktheory and connections with arithmetic
by Battelle Memorial Institute Conference(
Book
)
12 editions published in 1973 in English and held by 76 WorldCat member libraries worldwide
12 editions published in 1973 in English and held by 76 WorldCat member libraries worldwide
Hermitian Ktheory and geometric applications : proceedings of the conference held at the Battelle Memorial Institute, from August 28 to September 8, 1972
by Conference on Algebraic KTheory(
Book
)
10 editions published in 1973 in English and held by 58 WorldCat member libraries worldwide
10 editions published in 1973 in English and held by 58 WorldCat member libraries worldwide
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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
 Morgan, John 1946 March 21 Author Editor
 Kolchin, E. R. (Ellis Robert) 1916 Honoree Author
 Cassidy, Phyllis J. (Phyllis Joan) 1934 Editor
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Associated Subjects
Algebra Algebraic topology Arithmetic Associative rings Authors Automorphisms Awards Canada Categories (Mathematics) 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 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
Басс, Х..
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