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math.RT2022
Generic Hecke algebra and theta correspondence over finite fields
Jia-Jun Ma, Congling Qiu, Jialiang Zou
We study the Hecke algebra modules arising from theta correspondence between certain Harish-Chandra series for type I dual pairs over finite fields. For the product of the pair of…
math.RT2022★ 1 cited
Fourier-Jacobi models of Deligne-Lusztig characters and depth zero local descent for unitary groups
Dongwen Liu, Jia-Jun Ma, Fang Shi
In this paper, we deduce explicit multiplicity formulas of the Fourier-Jacobi model for Deligne-Lusztig characters of finite symplectic groups, unitary groups, and general linear g…
math.RT2022★ 3 cited
Special unipotent representations of real classical groups: counting and reduction
Dan Barbasch, Jia-Jun Ma, Binyong Sun +1
Let be a real reductive group in Harish-Chandra's class. We derive some consequences of theory of coherent continuation representations to the counting of irreducible represent…