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
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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.


Linear Representations of Partially Ordered Sets and Vector Space Categories
Language: en
Pages: 516

Linear Representations of Partially Ordered Sets and Vector Space Categories

Authors: Daniel Simson
Categories: Mathematics
Type: BOOK - Published: 1993-01-01 - Publisher: CRC Press

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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 re
Algebraic Structures and Their Representations
Language: en
Pages: 466

Algebraic Structures and Their Representations

Authors: José Antonio de la Peña
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

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The Latin-American conference on algebra, the XV Coloquio Latinoamericano de Algebra (Cocoyoc, Mexico), consisted of plenary sessions of general interest and sp
Abelian Groups and Representations of Finite Partially Ordered Sets
Language: en
Pages: 256

Abelian Groups and Representations of Finite Partially Ordered Sets

Authors: David Arnold
Categories: Mathematics
Type: BOOK - Published: 2012-11-14 - Publisher: Springer Science & Business Media

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The theme of this book is an exposition of connections between representations of finite partially ordered sets and abelian groups. Emphasis is placed throughou
Computational Methods for Representations of Groups and Algebras
Language: en
Pages: 358

Computational Methods for Representations of Groups and Algebras

Authors: P. Dräxler
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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This book presents material from 3 survey lectures and 14 additional invited lectures given at the Euroconference "Computational Methods for Representations of
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Language: en
Pages: 390

Tame Algebras and Integral Quadratic Forms

Authors: Claus M. Ringel
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

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