Hecke modules from metaplectic ice
SCIE
SCOPUS
- Title
- Hecke modules from metaplectic ice
- Authors
- Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Friedberg, Solomon
- Date Issued
- 2018-07
- Publisher
- Birkhauser Verlag
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/120851
- DOI
- 10.1007/s00029-017-0372-0
- ISSN
- 1022-1824
- Article Type
- Article
- Citation
- Selecta Mathematica, New Series, vol. 24, no. 3, page. 2523 - 2570, 2018-07
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