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Record Nr. |
UNINA9910788872003321 |
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Autore |
Reiten Idun <1942-> |
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Titolo |
Two-dimensional tame and maximal orders of finite representation type / / Idun Reiten and Michel Van den Bergh |
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Pubbl/distr/stampa |
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Providence, Rhode Island, United States : , : American Mathematical Society, , 1989 |
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©1989 |
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ISBN |
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Descrizione fisica |
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1 online resource (85 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 80, Number 408 |
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Disciplina |
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Soggetti |
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Associative algebras |
Representations of algebras |
Grothendieck groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"July 1989, Volume 80, Number 408 (fourth of 5 numbers)"--Cover. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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)]"" |
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