Extended Weil representations: the non-dyadic local field cases

2022/12/15 by Wang, Chun-Hui
#11F27 #20C25 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2212.07667

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^±(W), which is a covering group related to the projective similitude symplectic group.

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