activity
20172022
collaborators

4 papers

math.RT2022

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…

math.RT2020

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…

math.NT2018

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…

math.NT2017

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…