Representations of metaplectic groups II: Hecke algebra correspondences

Gan, Wee; Savin, Gordan

doi:10.1090/S1088-4165-2012-00423-X

Representations of metaplectic groups II: Hecke algebra correspondences
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by Wee Teck Gan and Gordan Savin

Represent. Theory 16 (2012), 513-539

DOI: https://doi.org/10.1090/S1088-4165-2012-00423-X

Published electronically: October 11, 2012

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Abstract:

The metaplectic group is defined by its oscillator or Weil representation. Using the types of the Weil representations we define two Hecke algebras that govern two Bernstein’s components containing the even and the odd Weil representation, respectively.

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