Two-dimensional tame and maximal orders of finite representation type / / Idun Reiten and Michel Van den Bergh
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| Autore: |
Reiten Idun <1942->
|
| Titolo: |
Two-dimensional tame and maximal orders of finite representation type / / Idun Reiten and Michel Van den Bergh
|
| Pubblicazione: | Providence, Rhode Island, United States : , : American Mathematical Society, , 1989 |
| ©1989 | |
| Descrizione fisica: | 1 online resource (85 p.) |
| Disciplina: | 512/.24 |
| Soggetto topico: | Associative algebras |
| Representations of algebras | |
| Grothendieck groups | |
| Persona (resp. second.): | BerghM. van den |
| Note generali: | "July 1989, Volume 80, Number 408 (fourth of 5 numbers)"--Cover. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""TABLE OF CONTENTS""; ""INTRODUCTION""; ""1. TAME AND MAXIMAL ORDERS AND THEIR GROTHENDIECK GROUPS""; ""1.1 Orders""; ""1.2 Reflexive Morita equivalence""; ""1.3 Grothendieck group of tame and maximal orders""; ""2. THE ASSOCIATED GRADED ORDERS""; ""2.1 The shape of the Auslander-Reiten quivers""; ""2.2 The associated graded algebras""; ""2.3 The isomorphism classes of the path algebras with quadratic relations""; ""2.4 Properties of the path algebras with quadratic relations and their completions""; ""2.5 The classification for gr Î?""; ""2.6 k[[x[sub(1)],x[sub(2)]]]-algebras"" |
| ""2.7 General comments on existence of almost split sequences""""3. THE LATTICE OF OVERLYING ORDERS""; ""3.1 The Grothendieck group of a translation quiver""; ""3.2 Admissible sets and zero sets""; ""3.3 Zero sets of tame orders""; ""3.4 When are Î? and End [sub(Î?)] (M) reflexive Morita equivalent?""; ""3.5 AR-quivers for overorders""; ""3.6 Relationship between K[sub(0)](mod[sub(1)] Î?) and K[sub(0)](mod Î?)""; ""4. MAXIMAL ORDERS OF FINITE REPRESENTATION TYPE""; ""4.1 The method""; ""4.2 The universal covering of Î? is ZD[sub(n)]""; ""4.3 The universal covering is ZE[sub(i)]"" | |
| Titolo autorizzato: | Two-dimensional tame and maximal orders of finite representation type |
| ISBN: | 1-4704-0831-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788872003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 80, Number 408.