Hecke algebra correspondences for the metaplectic group
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- by Shuichiro Takeda and Aaron Wood PDF
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Abstract:
Over a $p$-adic field of odd residual characteristic, Gan and Savin proved a correspondence between the Bernstein components of the even and odd Weil representations of the metaplectic group and the components of the trivial representation of the equal rank odd orthogonal groups. In this paper, we extend their result to the case of even residual characteristic.References
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Additional Information
- Shuichiro Takeda
- Affiliation: Department of Mathematics, University of Missouri-Columbia, 202 Math Sciences Building, Columbia, Missouri 65211
- MR Author ID: 873141
- Email: takedas@missouri.edu
- Aaron Wood
- Affiliation: Department of Mathematics, University of Missouri-Columbia, 202 Math Sciences Building, Columbia, Missouri 65211
- Email: wood@math.utah.edu
- Received by editor(s): June 17, 2015
- Received by editor(s) in revised form: May 21, 2016
- Published electronically: May 30, 2017
- Additional Notes: The first author was partially supported by NSF grant DMS-1215419
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 370 (2018), 1101-1121
- MSC (2010): Primary 20C08
- DOI: https://doi.org/10.1090/tran/7020
- MathSciNet review: 3729496