Linear Representations of Partially Ordered Sets and Vector Space Categories

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Linear Representations of Partially Ordered Sets and Vector Space Categories is written by Daniel Simson and published by CRC Press. It's available with International Standard Book Number or ISBN identification 2881248284 (ISBN 10) and 9782881248283 (ISBN 13).

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.