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• W2766197897 abstract "We present a new framework for a broad class of affine Hecke algebra modules, and show that such modules arise in a number of settings involving representations of $p$-adic groups and $R$-matrices for quantum groups. Instances of such modules arise from (possibly non-unique) functionals on $p$-adic groups and their metaplectic covers, such as the Whittaker functionals. As a byproduct, we obtain new, algebraic proofs of a number of results concerning metaplectic Whittaker functions. These are thus expressed in terms of metaplectic versions of Demazure operators, which are built out of $R$-matrices of quantum groups depending on the cover degree and associated root system." @default.
• W2766197897 created "2017-11-10" @default.
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• W2766197897 date "2017-04-03" @default.
• W2766197897 modified "2023-10-18" @default.
• W2766197897 title "Hecke Modules from Metaplectic Ice" @default.
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• W2766197897 doi "https://doi.org/10.48550/arxiv.1704.00701" @default.
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