WorldCat Identities

Bass, Hyman 1932-

Overview
Works: 89 works in 392 publications in 4 languages and 11,626 library holdings
Genres: Conference papers and proceedings  Textbooks 
Roles: Author, Editor, Honoree, Other, Degree grantor, Compiler, Dedicatee, Thesis advisor
Classifications: QA155, 512
Publication Timeline
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Most widely held works by Hyman Bass
Algebraic K-theory by Hyman Bass( Book )

27 editions published between 1968 and 1973 in English and Russian and held by 800 WorldCat member libraries worldwide

Linear algebraic groups by Armand Borel( Book )

5 editions published in 1969 in English and held by 424 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 non-algebraically 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 W Morgan( Book )

15 editions published in 1984 in English and Undetermined and held by 385 WorldCat member libraries worldwide

Contributions to algebra : a collection of papers dedicated to Ellis Kolchin( Book )

10 editions published in 1977 in English and held by 353 WorldCat member libraries worldwide

Introduction to some methods of algebraic K-theory by Hyman Bass( Book )

16 editions published between 1973 and 1979 in English and held by 339 WorldCat member libraries worldwide

Cyclic renormalization and automorphism groups of rooted trees by Hyman Bass( Book )

23 editions published between 1995 and 1996 in English and held by 338 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
Measuring what counts : a conceptual guide for mathematics assessment by National Research Council (U.S.)( Book )

13 editions published in 1993 in English and held by 323 WorldCat member libraries worldwide

Tree lattices by Hyman Bass( Book )

16 editions published between 2000 and 2001 in English and held by 309 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 non-archimedean local field acting on their Bruhat-Tits 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 X-lattices G, where X-is 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 non-uniform tree lattices, including some fundamental and recently proved existence theorems. Non-uniform 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, K-theory, 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 218 WorldCat member libraries worldwide

Lectures on topics in algebraic k-theory by Hyman Bass( Book )

8 editions published in 1967 in English and held by 182 WorldCat member libraries worldwide

Selected works of Ellis Kolchin with commentary by E. R Kolchin( Book )

6 editions published in 1999 in English and held by 129 WorldCat member libraries worldwide

Classical algebraic K-theory and connections with arithmetic by Hyman Bass( Book )

24 editions published between 1973 and 1986 in 3 languages and held by 126 WorldCat member libraries worldwide

Higher K-Theories : 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( )

15 editions published between 1973 and 1986 in 3 languages and held by 125 WorldCat member libraries worldwide

Studying classroom teaching as a medium for professional development : proceedings of a U.S.-Japan workshop by Hyman, Ed Bass( Book )

11 editions published in 2002 in English and held by 123 WorldCat member libraries worldwide

Annotation
Algebraic K-theory and its applications : proceedings of the workshop and symposium : ICTP, Trieste, Italy, 1-19 September 1997 by Workshop Algebraic K-Theory and Its Applications( Book )

5 editions published in 1999 in English and held by 121 WorldCat member libraries worldwide

Trees by Jean-Pierre 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 J-P. 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 Bruhat-Tits tree of SL(2) over a local field
Algebra by Serge Lang( Book )

5 editions published between 2010 and 2011 in English and held by 97 WorldCat member libraries worldwide

This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. Comments on Serge Lang's Algebra: Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books. April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books. The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra. MathSciNet's review of the first edition
Measuring what counts : a policy brief by National Research Council (U.S.)( Book )

7 editions published in 1993 in English and held by 42 WorldCat member libraries worldwide

 
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Cyclic renormalization and automorphism groups of rooted trees
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 US-amerikanischer Mathematiker

Hymann Bass

Басс, Х..

هيمان باس

하이먼 배스

Languages
English (241)

French (16)

Russian (4)

German (1)

Covers
The Smith conjectureCyclic renormalization and automorphism groups of rooted treesMeasuring what counts : a conceptual guide for mathematics assessmentTree latticesAlgebra, K-theory, groups, and education : on the occasion of Hyman Bass's 65th birthdayHermitian K-Theory and Geometric Applications : Proceedings of the Conference held at the Seattle Research Center of the Battelle Memorial Institute, from August 28 to September 8, 1972Selected works of Ellis Kolchin with commentaryClassical algebraic K-theory and connections with arithmetic