عنوان

Linear representations of partially ordered sets and vector space categories /

(Number (ISBN

2881248284

(Number (ISBN

9782881248283

Number

b735742

Title Proper

Linear representations of partially ordered sets and vector space categories /

General Material Designation

[Book]

First Statement of Responsibility

Daniel Simson.

Place of Publication, Distribution, etc.

Philadelphia, Pa. :

Name of Publisher, Distributor, etc.

Gordon and Breach Science Publishers,

Date of Publication, Distribution, etc.

©1992.

Specific Material Designation and Extent of Item

xv, 499 pages :

Other Physical Details

illustrations ;

Dimensions

24 cm.

Series Title

Algebra, logic, and applications,

Volume Designation

v. 4

ISSN of Series

1041-5394 ;

Text of Note

Includes bibliographical references (pages 473-488) and index.

Text of Note

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.

2

Categories (Mathematics)

Partially ordered sets.

Representations of groups.

Vector spaces.

Categories (Mathematics)

Catégories (mathématiques)

Espaces vectoriels.

Halbgeordnete Menge

Kategorie

Lineare Darstellung

Partially ordered sets.

Représentations de groupes.

Representations of groups.

Vector spaces.

Vektorraum

Number

Edition

Class number

Book number

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System Code

System Code

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System Code

Simson, Daniel.

Date of Transaction

20201203191228.0

Electronic name

[Book]

Y