DEFORMED MESH ALGEBRAS OF DYNKIN TYPE C-n
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...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2012
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| Summary: | 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. © Instytut Matematyczny PAN, 2012. |
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