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June 2013 Reconstruction algebras of type D (II)
Michael WEMYSS
Hokkaido Math. J. 42(2): 293-329 (June 2013). DOI: 10.14492/hokmj/1372859589

Abstract

This is the third in a series of papers which give an explicit description of the reconstruction algebra as a quiver with relations; these algebras arise naturally as geometric generalizations of preprojective algebras of extended Dynkin quivers. This paper is the companion to [W12] and deals with dihedral groups G = $\mathbb{D}$n,q which have rank two special CM modules. We show that such reconstruction algebras are described by combining a preprojective algebra of type $\tilde{D}$ with some reconstruction algebra of type A.

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Michael WEMYSS. "Reconstruction algebras of type D (II)." Hokkaido Math. J. 42 (2) 293 - 329, June 2013. https://doi.org/10.14492/hokmj/1372859589

Information

Published: June 2013
First available in Project Euclid: 3 July 2013

zbMATH: 06188777
MathSciNet: MR2891127
Digital Object Identifier: 10.14492/hokmj/1372859589

Subjects:
Primary: 13C14 , 14E16 , 16S38

Keywords: CM modules , noncommutative resolutions , surface singularities

Rights: Copyright © 2013 Hokkaido University, Department of Mathematics

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Vol.42 • No. 2 • June 2013
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