THE MUTATION CLASS OF Dn QUIVERS

被引：27

作者：

Vatne, Dagfinn F. ^{[1
]}

机构：

[1] Norges Tekn Nat Vitenskapelige Univ, Inst Matemat Fag, N-7491 Trondheim, Norway

来源：

COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 03期

关键词：

Cluster-tilted algebra; Quiver mutation; CLUSTER-TILTED ALGEBRAS;

D O I：

10.1080/00927870902897947

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an explicit description of the mutation classes of quivers of type D, and thus obtain a complete description of type D cluster-tilted algebras.

引用

页码：1137 / 1146

页数：10

共 11 条

[1] Derived equivalence classification for cluster-tilted algebras of type An
Buan, Aslak Bakke
Vatne, Dagfinn F.
[J]. JOURNAL OF ALGEBRA, 2008, 319 (07) : 2723 - 2738
[2] Cluster-tilted algebras of finite representation type
Buan, Aslak Bakke
Marsh, Bethany Rose
Reiten, Idun
[J]. JOURNAL OF ALGEBRA, 2006, 306 (02) : 412 - 431
[3] Buan AB, 2007, T AM MATH SOC, V359, P323
[4] Tilting theory and cluster combinatorics
Buan, Aslak Bakke
Marsh, Bethany Rose
Reineke, Markus
Reiten, Idun
Todorov, Gordana
[J]. ADVANCES IN MATHEMATICS, 2006, 204 (02) : 572 - 618
[5] Quivers with relations arising from clusters (An case)
Caldero, P
Chapoton, F
Schiffler, R
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (03) : 1347 - 1364
[6] Quivers with relations and cluster tilted algebras
Caldero, Philippe
Chapoton, Frederic
Schiffler, Ralf
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2006, 9 (04) : 359 - 376
[7] Cluster algebras II: Finite type classification
Fomin, S
Zelevinsky, A
[J]. INVENTIONES MATHEMATICAE, 2003, 154 (01) : 63 - 121
[8] Cluster algebras I: Foundations
Fomin, S
Zelevinsky, A
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 15 (02) : 497 - 529
[9] The self-injective cluster-tilted algebras
Ringel, Claus Michael
[J]. ARCHIV DER MATHEMATIK, 2008, 91 (03) : 218 - 225
[10] A geometric model for cluster categories of type Dn
Schiffler, Ralf
[J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2008, 27 (01) : 1 - 21

← 1 2 →