Lecture Notes on Cherednik Algebras
نویسندگان
چکیده
منابع مشابه
Notes on Cherednik Algebras and Algebraic Combinatorics, Montreal 2017
These are the notes for a short course given at the summer school Equivariant Combinatorics at the CRM in Montreal. The notes contain somewhat more material than was practical to cover in the course. The intended audience was graduate students and researchers in algebraic combinatorics with no prior experience with Cherednik algebras, but who are interested in the algebraic combinatorics having...
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These are notes for a talk in the MIT-Northeastern Spring 2015 Graduate Representation Theory Seminar. The main source is [BR14].
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In this talk we describe some applications of Procesi bundles that appeared in Gufang’s talk to type A Rational Cherednik algebras introduced in Jose’s talk. We start by recalling Procesi bundles, quantum Hamiltonian reductions, and Cherednik algebras. Then we apply Procesi bundles to relating the spherical Rational Cherednik algebras to quantum Hamiltonian reductions. Finally, we study the def...
متن کاملSupports of Irreducible Spherical Representations of Rational Cherednik Algebras of Finite Coxeter Groups
In this paper we determine the support of the irreducible spherical representation (i.e., the irreducible quotient of the polynomial representation) of the rational Cherednik algebra of a finite Coxeter group for any value of the parameter c. In particular, we determine for which values of c this representation is finite dimensional. This generalizes a result of Varagnolo and Vasserot, [VV], wh...
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تاریخ انتشار 2010