23 citations · 26 across the 8 of their papers we have counts for
11 papers
Whittaker spaces for reducible unitary principal series representations of
Dani Szpruch
Let be a -adic field containing the full group of roots of 1 and let be the -fold cover of constructed by Kubota. In this paper…
A p-adic analog of Hasse-Davenport product relation involving epsilon-factors
Dani Szpruch
In this paper we prove some generalizations of the classical Hasse-Davenport product relation for certain arithmetic factors defined on p-adic fields, among them one finds the epsi…
A note on the representation theory of central extensions of reductive -adic groups
Eyal Kaplan, Dani Szpruch
In this note, we verify that several fundamental results from the theory of representations of reductive -adic groups, extend to finite central extensions of these groups.
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.…
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…
On Shahidi local coefficients matrix
Dani Szpruch
In these notes we define and study the Shahidi local coefficients matrix associated with a genuine principal series representation I(σ) of an n-fold cover of p-adic SL(2,F) and an…
Plancherel measures for coverings of p-adic SL(2,F)
David Goldberg, Dani Szpruch
In these notes we compute the Plancherel measures associated with genuine principal series representations of n-fold covers of p-adic SL(2,F). Along the way we also compute a highe…
The non-tempered theta 10 Arthur parameter and Gross-Prasad Conjectures
Nadya Gurevich, Dani Szpruch
We provide a construction of local and automorphic non-tempered Arthur packets of the group SO(3,2) and its inner form SO(4,1) associated with a certain Arthur's parameter and prov…
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…
Some results in the theory of genuine representations of the metaplectic double cover of GSp2n(F) over p-adic fields
Dani Szpruch
Let F be a p-adic field and let G(n) and G`(n) be the metaplectic double covers of the general symplectic group and symplectic group attached to a 2n dimensional symplectic space o…
The Langlands-Shahidi Method for the metaplectic group and applications
Dani Szpruch
I am applying the Langlands-Shahidi method to the metaplectic double cover of Sp(2n). I proved that a Whittaker model of an irreducible admissible representation of this group is u…