Linear representations of partially ordered sets and vector space categories
Simson, DanielThis 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.
Categories:
Year:
1993
Publisher:
Gordon and Breach Science Publishers, Routledge
Language:
english
Pages:
499
ISBN 10:
2881248284
ISBN 13:
9782881248283
Series:
Algebra logic and applications 4
File:
DJVU, 4.58 MB
IPFS:
,
english, 1993