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arXiv · 2212.07667

Extended Weil representations: the non-dyadic local field cases

Chun-Hui Wang
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Abstract

Let F be a non-archimedean local field of odd residual characteristic. Let W be a symplectic vector space over F. It is known that there are different Weil representations of a Meteplectic covering group Mp(W). By some twisted actions, we reorganize them as a representation of $PGMp^{\pm}(W)$, which is a covering group related to the projective similitude symplectic group.

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Chun-Hui Wang. 2022-12-15. Extended Weil representations: the non-dyadic local field cases. https://arxiv.org/abs/2212.07667

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