On representations of rational Cherednik algebras of complex rank
نویسندگان
چکیده
منابع مشابه
Cuspidal Representations of Rational Cherednik Algebras
We study those finite dimensional quotients of the rational Cherednik algebra at t = 0 that are supported at a point of the centre. It is shown that each such quotient is Morita equivalent to a certain “cuspidal” quotient of a rational Cherednik algebra associated to a parabolic subgroup of W .
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1. Signature Characters and the Jantzen Filtration 1 1.1. Jantzen Filtrations on Standard Modules 1 1.2. Hermitian Duals 3 1.3. Rationality of Signature Characters 5 1.4. Asymptotic Signatures 7 1.5. Isotypic Signature Characters 8 2. The Dunkl Weight Function 10 2.1. The Gaussian Inner Product 10 2.2. Weight Function 10 2.3. Analytic Continuation on the Regular Locus 20 2.4. Extension to Distr...
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ژورنال
عنوان ژورنال: Representation Theory of the American Mathematical Society
سال: 2014
ISSN: 1088-4165
DOI: 10.1090/s1088-4165-2014-00459-x