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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…
nucl-th2022★ 12 cited
An effective and efficient algorithm for the Wigner rotation matrix at high angular momenta
Bin-Lei Wang, Fan Gao, Long-Jun Wang +1
The Wigner rotation matrix (-function), which appears as a part of the angular-momentum-projection operator, plays a crucial role in modern nuclear-structure models. However, it…
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…