Deformed preprojective algebras of generalized Dynkin type Ln: Classification and symmetricity

JOURNAL OF ALGEBRA

卷:345

Article

Bialkowski, Jerzy¹  Erdmann, Karin²  Skowronski, Andrzej¹ 

[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

[2] Univ Oxford, Math Inst, Oxford OX1 3LB, England

关键词: Preprojective algebra;    Syzygy;    Periodic algebra;    Simple plane curve singularity;    Cohen-Macaulay module;    Auslander algebra;   

DOI  :  10.1016/j.jalgebra.2011.08.005

来源: Elsevier

【 摘 要 】

We give a complete classification of the isomorphism classes of the deformed preprojective algebras of generalized Dynkin type L-n and show that all these algebras are symmetric. Moreover, we show that the deformed preprojective algebras of type L-n are isomorphic to the stable Auslander algebras of simple plane curve singularities of Dynkin type A(2n). (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free