Nadya Gurevich

activity

20122022

collaborators

4 papers

math.RT2022

Genuine pro- $p$ 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.RT2016

Poles of the Standard $L$ -function of $G_{2}$ and the Rallis-Schiffmann Lift

Nadya Gurevich, Avner Segal

We characterize the cuspidal representations of $G_{2}$ whose standard $L$ -function admits a pole at $s = 2$ as the image of Rallis-Schiffmann lift for the commuting pair $\l…

math.RT2012

Rankin-Selberg integral with Non-unique model for the standard L-function of $G_{2}$

Nadya Gurevich, Avner Segal

Let L^S(π,s,st) be a partial L-function of degree 7 of a cuspidal automorphic representation πof the exceptional group G_2. Here we construct a Rankin-Selberg integral for represen…

Genuine pro-p Iwahori--Hecke algebras, Gelfand--Graev representations, and some applications

The Twisted Satake Transform and the Casselman-Shalika Formula for Quasi-Split Groups

Poles of the Standard L-function of G2​ and the Rallis-Schiffmann Lift

Rankin-Selberg integral with Non-unique model for the standard L-function of G2​

Genuine pro- $p$ Iwahori--Hecke algebras, Gelfand--Graev representations, and some applications

Poles of the Standard $L$ -function of $G_{2}$ and the Rallis-Schiffmann Lift

Rankin-Selberg integral with Non-unique model for the standard L-function of $G_{2}$