The Dunkl-Cherednik deformation of a Howe duality
نویسندگان
چکیده
منابع مشابه
The Dunkl Weight Function for Representations of Rational Cherednik Algebras
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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In this paper we prove the existence of the Dunkl weight function Kc,λ for any irreducible representation λ of any finite Coxeter group W , generalizing previous results of Dunkl. In particular, Kc,λ is a family of tempered distributions on the real reflection representation of W taking values in EndC(λ), with holomorphic dependence on the complex multi-parameter c. When the parameter c is real...
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Let lambda be a partition, with l parts, and let F(lambda) be the irreducible finite dimensional representation of GL(m) associated to lambda when l < or = m. The Littlewood Restriction Rule describes how F(lambda) decomposes when restricted to the orthogonal group O(m) or to the symplectic group Sp(m2) under the condition that l < or = m2. In this paper, this result is extended to all partitio...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2020
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2020.05.034