1 citations · 2 across the 11 of their papers we have counts for
11 papers
Fourier Transform and the minimal representation of
Wee Teck Gan, Nadya Gurevich
We consider the minimal representation of the adjoint split group over a p-adic field. The representation has a model in a space of functions on a 17 dimensional cone , an…
Automorphic functionals for the minimal representations of groups of type and
Nadya Gurevich, David Kazhdan
Let be a split simply-connected group of type or . The minimal automorphic representation of admits a realization on a space of functions $\mathcal S(…
Fourier transform on a cone and the minimal representation of even orthogonal group
Nadya Gurevich, David Kazhdan
Let be an even orthogonal quasi-split group defined over a local non-archimedean field . We describe the subspace of smooth vectors of the minimal representation of …
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…
Fourier transforms on the basic affine space of a quasi-split group
Nadya Gurevich, David Kazhdan
We extend the Gelfand and Graev construction of generalized Fourier transforms on basic affine space from split groups to quasi-split groups over a local non-archimedean field .
Poles of the Standard -function of and the Rallis-Schiffmann Lift
Nadya Gurevich, Avner Segal
We characterize the cuspidal representations of whose standard -function admits a pole at as the image of Rallis-Schiffmann lift for the commuting pair $\l…
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…
The twisted Satake isomorphism and Casselman-Shalika formula
Nadya Gurevich
For an arbitrary split adjoint group we identify the unramified Whittaker space with the space of skew-invariant functions on the lattice of coweights and deduce from it the Cassel…
Rankin-Selberg integral with Non-unique model for the standard L-function of
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…