WorldCat Identities

Bass, Hyman 1932-

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
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
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
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
Algebraic K-theory by Hyman Bass( Book )
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
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
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 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
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
Introduction to some methods of algebraic K-theory by Hyman Bass( Book )
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 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 )
9 editions published in 1999 in English and held by 225 WorldCat member libraries worldwide
Lectures on topics in algebraic k-theory by Hyman Bass( Book )
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
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 )
4 editions published in 1999 in English and held by 119 WorldCat member libraries worldwide
Trees by Jean-Pierre 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 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 John W Milnor( Book )
6 editions published between 2010 and 2011 in English and held by 94 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 Battelle Memorial Institute Conference( Book )
11 editions published in 1973 in 3 languages and held by 78 WorldCat member libraries worldwide
Classical algebraic K-theory 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
Hermitian K-theory and geometric applications : proceedings of the conference held at the Battelle Memorial Institute, from August 28 to September 8, 1972 by Conference on Algebraic K-Theory( Book )
10 editions published in 1973 in English and held by 58 WorldCat member libraries worldwide
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  Kids General Special  
Audience level: 0.59 (from 0.10 for Bass, Hyma ... to 0.90 for Algebra, K ...)
Alternative Names
Bass, Ch.
Bass, Ch. 1932-
Bass, H.
Bass, H. 1932-
Bass, H. (Hyman), 1932-
Bass, Hyman
Басс, Х..