Hecke algebra correspondences for the metaplectic group

Takeda, Shuichiro; Wood, Aaron

doi:10.1090/tran/7020

Hecke algebra correspondences for the metaplectic group
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by Shuichiro Takeda and Aaron Wood PDF

Trans. Amer. Math. Soc. 370 (2018), 1101-1121 Request permission

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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