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- W4298412963 abstract "We define Drinfeld orbifold algebras as filtered algebras deforming the skew group algebra (semi-direct product) arising from the action of a finite group on a polynomial ring. They simultaneously generalize Weyl algebras, graded (or Drinfeld) Hecke algebras, rational Cherednik algebras, symplectic reflection algebras, and universal enveloping algebras of Lie algebras with group actions. We give necessary and sufficient conditions on defining parameters to obtain Drinfeld orbifold algebras in two general formats, both algebraic and homological. We explain the connection between Hochschild cohomology and a Poincare-Birkhoff-Witt property explicitly (using Gerstenhaber brackets). We also classify those deformations of skew group algebras which arise as Drinfeld orbifold algebras and give applications for abelian groups." @default.
- W4298412963 created "2022-10-02" @default.
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- W4298412963 date "2011-11-30" @default.
- W4298412963 modified "2023-09-25" @default.
- W4298412963 title "Drinfeld Orbifold Algebras" @default.
- W4298412963 doi "https://doi.org/10.48550/arxiv.1111.7198" @default.
- W4298412963 hasPublicationYear "2011" @default.
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