Representations and cohomology I. Volume 1, Basic representation theory of finite groups and associative algebras
Benson, D. J.
Representations and cohomology I. Volume 1, Basic representation theory of finite groups and associative algebras [Book] / D.J. Benson. algebras. - [2nd ed.]. - New Delhi : Cambridge University Press (India), 1998. - xi,246p. ; 23cm. - Cambridge studies in advanced mathematics ; 30 . - Cambridge studies in advanced mathematics ; 30 .
Previous ed.: 1991. Bibliography: p225-235. _ Includes index.
This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, and the heart of the discussion is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost-split sequences are discussed in some detail.
9780521169882
GB98Y6284 bnb
Representations of groups.
Representations of algebras.
Homology theory.
512.72
Representations and cohomology I. Volume 1, Basic representation theory of finite groups and associative algebras [Book] / D.J. Benson. algebras. - [2nd ed.]. - New Delhi : Cambridge University Press (India), 1998. - xi,246p. ; 23cm. - Cambridge studies in advanced mathematics ; 30 . - Cambridge studies in advanced mathematics ; 30 .
Previous ed.: 1991. Bibliography: p225-235. _ Includes index.
This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, and the heart of the discussion is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost-split sequences are discussed in some detail.
9780521169882
GB98Y6284 bnb
Representations of groups.
Representations of algebras.
Homology theory.
512.72