Abelian Groups and Modules

Abelian Groups and Modules
Author: K.M. Rangaswamy
Publisher: CRC Press
Total Pages: 434
Release: 1996-08-16
Genre: Mathematics
ISBN: 9780824797898

Contains the proceedings of an international conference on abelian groups and modules held recently in Colorado Springs. Presents the latest developments in abelian groups that have facilitated cross-fertilization of new techniques from diverse areas such as the representation theory of posets, model theory, set theory, and module theory.

Representation Theory of Algebras

Representation Theory of Algebras
Author: Raymundo Bautista
Publisher: American Mathematical Soc.
Total Pages: 780
Release: 1996
Genre: Mathematics
ISBN: 9780821803950

The ICRA VII was held at Cocoyoc, Mexico, in August 1994. This was the second time that the ICRA was held in Mexico: ICRA III took place in Puebla in 1980. The 1994 conference included 62 lectures, all listed in these Proceedings. Not all contributions presented, however, appear in this book. Most papers in this volume are in final form with complete proofs, with the only exception being the paper of Leszczynski and Skowronski, Auslander algebras of tame representation type, that the editors thought useful to include.

Linear Representations of Partially Ordered Sets and Vector Space Categories

Linear Representations of Partially Ordered Sets and Vector Space Categories
Author: Daniel Simson
Publisher: CRC Press
Total Pages: 516
Release: 1993-01-01
Genre: Mathematics
ISBN: 9782881248283

This volume provides an elementary yet comprehensive introduction to representations of partially ordered sets and bimodule matrix problems, and their use in representation theory of algebras. It includes a discussion of representation types of algebras and partially ordered sets. Various characterizations of representation-finite and representation-tame partially ordered sets are offered and a description of their indecomposable representations is given. Auslander-Reiten theory is demonstrated together with a computer accessible algorithm for determining in decomposable representations and the Auslander-Reiten quiver of any representation-finite partially ordered set.

Representations of Finite Dimensional Algebras

Representations of Finite Dimensional Algebras
Author: Hiroyuki Tachikawa
Publisher: American Mathematical Soc.
Total Pages: 350
Release: 1991
Genre: Mathematics
ISBN: 9780821860168

This volume contains the proceedings of the Tsukuba International Conference on Representations of Algebras and Related Topics (fifth ICRA), held at the University of Tsukuba, August 13-18, 1990. The conference focused on the rapid development of research on representations of finite-dimensional algebras and group representations. A subset of the fifty-seven lectures are collected here, together with a number of other papers not originally presented at the conference. With contributions by some of the world's leading experts in this area, this book provides a valuable overview of the frontier of research in representations of algebras.