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Hecke algebra correspondences for the metaplectic group


Authors: Shuichiro Takeda and Aaron Wood
Journal: Trans. Amer. Math. Soc.
MSC (2010): Primary 20C08
DOI: https://doi.org/10.1090/tran/7020
Published electronically: May 30, 2017
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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.


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Additional Information

Shuichiro Takeda
Affiliation: Department of Mathematics, University of Missouri-Columbia, 202 Math Sciences Building, Columbia, Missouri 65211
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

DOI: https://doi.org/10.1090/tran/7020
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
Article copyright: © Copyright 2017 American Mathematical Society