Overview

Linear representations of partially ordered sets, matrix problems and vector space categories have long been recognized to be of great importance for the study of indecomposable representations of groups and algebras, lattices over orders, abelian groups, Cohen-Macaulay modules and combinatorics. 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. Vartious characterizations of representation-finite and representation-tame partially ordered sets are presented and a description of their indemposable representations is given. Auslander-Reiten theory is presented together with a computer accessible algorithm for determining indecomposable representations and the Auslander-Reiten quiver of any representation-finite partially ordered set. The application of the theory to representations of algebras and lattices over orders is discussed. An emphasis is placed on explicit examples and computations throughout the text.

Full Product Details

9782881248283

Table of Contents

Reviews

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available