The Dunkl Weight Function for Representations of Rational Cherednik Algebras

نویسنده

  • SETH SHELLEY-ABRAHAMSON
چکیده

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 Distribution via Resolution of Singularities 25 References 28

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تاریخ انتشار 2017