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math.NT2022
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…
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…