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- W3099011692 abstract "We construct a noncommutative desingularization of the discriminant of a finite reflection group G as a quotient of the skew group ring A=S∗G. If G is generated by order 2 reflections, then this quotient identifies with the endomorphism ring of the reflection arrangement A(G) viewed as a module over the coordinate ring SG/(Δ) of the discriminant of G. This yields, in particular, a correspondence between the nontrivial irreducible representations of G to certain maximal Cohen–Macaulay modules over the coordinate ring SG/(Δ). These maximal Cohen–Macaulay modules are precisely the nonisomorphic direct summands of the coordinate ring of the reflection arrangement A(G) viewed as a module over SG/(Δ). We identify some of the corresponding matrix factorizations, namely, the so-called logarithmic (co-)residues of the discriminant." @default.
- W3099011692 created "2020-11-23" @default.
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- W3099011692 date "2020-03-15" @default.
- W3099011692 modified "2023-09-29" @default.
- W3099011692 title "A McKay correspondence for reflection groups" @default.
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- W3099011692 doi "https://doi.org/10.1215/00127094-2019-0069" @default.
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