1 citations · 1 across the 9 of their papers we have counts for
10 papers
Pseudo-spherical representations and types for covers of split tori
Edmund Karasiewicz, Shuichiro Takeda
We introduce a notion of pseudo-spherical representations for any Brylinski-Deligne (BD) cover of a split torus over a -adic field. In particular, we do not assume that the cove…
Minimal depth -types for wild double covers and Shimura correspondences
Edmund Karasiewicz, Shuichiro Takeda
We construct some Iwahori types, in the sense of Bushnell-Kutzko, for the double cover of an almost simple simply-laced simply-connected Chevalley group over any $2…
The stable wave front set of theta representations
Edmund Karasiewicz, Emile Okada, Runze Wang
We compute the stable wave front set of theta representations for certain tame Brylinski-Deligne covers of a connected reductive -adic group. The computation involves two main i…
The Dual Pair (-adic case)
Edmund Karasiewicz, Gordan Savin
We study the local theta correspondence for dual pairs of the form over a -adic field, where is a composition algebra of dimension 2 or 4, by r…
Gelfand--Graev functor and quantum affine Schur--Weyl duality
Fan Gao, Nadya Gurevich, Edmund Karasiewicz
We explicate relations among the Gelfand--Graev modules for central covers, the Euler--Poincaré polynomial of the Arnold--Brieskorn manifold, and the quantum affine Schur--Weyl dua…
Genuine pro- Iwahori--Hecke algebras, Gelfand--Graev representations, and some applications
Fan Gao, Nadya Gurevich, Edmund Karasiewicz
We study the Iwahori-component of the Gelfand-Graev representation of a central cover of a split linear reductive group and utilize our results for three applications. In fact, it…
The Twisted Satake Transform and the Casselman-Shalika Formula for Quasi-Split Groups
Nadya Gurevich, Edmund Karasiewicz
We prove the Casselman-Shalika formula for unramified groups over a non-archimedean local field by studying the action of the spherical Hecke algebra on the space of compact spheri…
A Hecke Algebra on the Double Cover of a Chevalley Group Over
Edmund Karasiewicz
We prove that a certain genuine Hecke algebra on the non-linear double cover of a simple, simply-laced, simply-connected, Chevalley group over ad…
The Fourier Coefficients of a Metaplectic Eisenstein Distribution on the Double Cover of SL over
Edmund Karasiewicz
We compute the Fourier coefficients of a minimal parabolic Eisenstein distribution on the double cover of SL over . Two key aspects of the paper are an explicit fo…
A Splitting into the Double Cover of SL(3,)
Edmund Karasiewicz
We provide a formula for the splitting of a congruence subgroup of SL into the double cover of SL in terms of Plücker coordinates and prove that the…