DEFORMED MESH ALGEBRAS OF DYNKIN TYPE Cn

被引:3
|
作者
Bialkowski, Jerzy [1 ]
Erdmann, Karin [2 ]
Skowronski, Andrzej [1 ]
机构
[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland
[2] Univ Oxford, Math Inst, Oxford OX1 3LB, England
关键词
mesh algebra; syzygy; periodic algebra; simple plane singularity; Cohen-Macaulay module; stable Auslander algebra; SELF-INJECTIVE ALGEBRAS; COHEN-MACAULAY MODULES; PREPROJECTIVE ALGEBRAS; HOCHSCHILD COHOMOLOGY; SINGULARITIES;
D O I
10.4064/cm126-2-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In our recent paper (J. Algebra 345 (2011)) we prove that the deformed preprojective algebras of generalized Dynkin type L-n (in the sense of our earlier work in Trans. Amer Math. Soc. 359 (2007)) are exactly (up to isomorphism) the stable Auslander algebras of simple plane singularities of Dynkin type A(2n). In this article we complete the picture by showing that the deformed mesh algebras of Dynkin type C-n are isomorphic to the canonical mesh algebras of type C-n, and hence to the stable Auslander algebras of simple plane curve singularities of type A(2n-1). Moreover, we describe the minimal (periodic) bimodule projective resolutions of the canonical mesh algebras of type C-n.
引用
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页码:217 / 230
页数:14
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