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.
机构:
Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
机构:
Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China