3 papers
math.RT2021
Restrictions, L-parameters, and local coefficients for genuine representations
Fan Gao, Freydoon Shahidi, Dani Szpruch
We consider the restriction and induction of representations between a covering group and its derived subgroup, both on the representation-theoretic side and the L-parameter side.…
math.RT2019
Local coefficients and gamma factors for principal series of covering groups
Fan Gao, Freydoon Shahidi, Dani Szpruch
We consider an -fold Brylinski-Deligne cover of a reductive group over a -adic field. Since the space of Whittaker functionals of an irreducible genuine representation of suc…
math.NT2013
Symmetric genuine Spherical Whittaker functions on the metaplectic double cover of GSp(2n,F)
Dani Szpruch
Let F be a p-adic field of odd residual characteristic. Let G(n) and G`(n) be the metaplectic double covers of the general symplectic group and the symplectic group attached to the…