Linear Representations Of Partially Ordered Sets And Vector Space Categories
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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 |
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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.
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