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Category O for Rational Cherednik Algebras H_{t,c}(GL_2(F_p),h) in Characteristic p
Rational Cherednik Algebras Characteristic p Representation Theory
2011/7/29
Abstract: In this paper we describe the characters of irreducible objects in category O for the rational Cherednik algebra associated to GL_2(F_p) over an algebraically closed field of positive charac...
Representations of Rational Cherednik Algebras in Positive Characteristic
Rational Cherednik Algebras Positive Characteristic Representation Theory
2011/7/3
Abstract: We study rational Cherednik algebras over an algebraically closed field of positive characteristic. We first prove several general results about category O, and then focus on rational Chered...
On isomorphisms of certain functors for Cherednik algebras
certain functors Cherednik algebras
2010/11/1
Bezrukavnikov and Etingof introduced some functors between the categories O for rational Cherednik algebras. Namely, they defined two induction functors Ind_b, ind_\lambda and two restriction functors...
Blocks of restricted rational Cherednik algebras for $G(m,d,n)$
Blocks restricted rational Cherednik algebras
2010/9/1
We study the Dunkl-Opdam subalgebra of the rational Cherednik algebra for wreath products at t = 0, and use this to describe the block decomposition of restricted rational Cherednik
algebras for G(m,...
On maximal primitive quotients of infinitesimal Cherednik algebras of gl_n
maximal primitive quotients infinitesimal Cherednik algebras of gl_n
2010/9/1
We prove analogues of some of Kostant’s theorems for in-finitesimal Cherednik algebras of gln. As a consequence, it follows that in positive characteristic the Azumaya and smooth loci of the center of...