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" Linear representations of partially ordered sets and vector space categories / "


Document Type : BL
Record Number : 981372
Doc. No : b735742
Main Entry : Simson, Daniel.
Title & Author : Linear representations of partially ordered sets and vector space categories /\ Daniel Simson.
Publication Statement : Yverdon, Switzerland ;Philadelphia, Pa. :: Gordon and Breach Science Publishers,, ©1992.
Series Statement : Algebra, logic, and applications,; v. 4
Page. NO : xv, 499 pages :: illustrations ;; 24 cm.
ISBN : 2881248284
: : 9782881248283
Bibliographies/Indexes : Includes bibliographical references (pages 473-488) and index.
Contents : 1. General remarks on matrix problems -- 2. Matrix representations of posets -- 3. Matrix representations and I-spaces -- 4. Differentiation of posets in the sense of Nazarova and Roiter -- 5. The category of I-spaces -- 6. The Differentiation functor -- 7. A differentiation with respect to a minimal element -- 8. Splitting decompositions -- 9. A differentiation with respect to a suitable pair of elements -- 10. Representation-finite posets -- 11. Irreducible maps and Auslander-Reiten sequences -- 12. Structure of Auslander-Reiten quivers -- 13. Applications of poset representations -- 14. Path algebras and representation types -- 15. Representation-tame posets -- 16. Representations of pairs of partially ordered sets -- 17. Vector space categories and bimodule matrix problems.
Subject : Categories (Mathematics)
Subject : Partially ordered sets.
Subject : Representations of groups.
Subject : Vector spaces.
Subject : Categories (Mathematics)
Subject : Catégories (mathématiques)
Subject : Espaces vectoriels.
Subject : Halbgeordnete Menge
Subject : Kategorie
Subject : Lineare Darstellung
Subject : Partially ordered sets.
Subject : Représentations de groupes.
Subject : Representations of groups.
Subject : Vector spaces.
Subject : Vektorraum
Dewey Classification : ‭511.3/2‬
LC Classification : ‭QA171.485‬‭.S56 1992‬
NLM classification : ‭*16G20‬msc
: ‭16-02‬msc
: ‭16D90‬msc
: ‭16G30‬msc
: ‭16G60‬msc
: ‭16G70‬msc
: ‭31.11‬bcl
: ‭SK 320‬rvk
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