Drinfeld orbifold algebras for symmetric groups
نویسندگان
چکیده
منابع مشابه
Drinfeld Orbifold Algebras
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 giv...
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15 صفحه اولFixed-point functors for symmetric groups and Schur algebras
Let Σd be the symmetric group. For 1 < m < d let Fm be the functor which takes a Σd module U to the space of fixed points UΣm , which is naturally a module for Σd−m. This functor was previously used by the author to study cohomology of the symmetric group, but little is known about it. This paper initiates a study of Fm. First, we relate it to James’ work on row and column removal and decomposi...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.07.027