Motivic multiplicative McKay correspondence for surfaces
Sign Up to like & getrecommendations! Published in 2017 at "manuscripta mathematica"
DOI: 10.1007/s00229-018-1026-z
Abstract: We revisit the classical two-dimensional McKay correspondence in two respects: The first one, which is the main point of this work, is that we take into account of the multiplicative structure given by the orbifold… read more here.
Keywords: correspondence; two dimensional; multiplicative mckay; chow ... See more keywords
McKay correspondence for semisimple Hopf actions on regular graded algebras, I
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.05.008
Abstract: In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin-Schelter regular algebras A of global dimension two, where A is a… read more here.
Keywords: actions regular; semisimple hopf; hopf actions; correspondence semisimple ... See more keywords
A McKay correspondence for reflection groups
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DOI: 10.1215/00127094-2019-0069
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 two reflections, then this quotient identifies… read more here.
Keywords: correspondence reflection; correspondence; reflection groups; reflection ... See more keywords