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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.RT2012
Associated cycles of local theta lifts of unitary characters and unitary lowest weight modules
Hung Yean Loke, Jia-jun Ma, U-Liang Tang
In this paper we first construct natural filtrations on the full theta lifts for any real reductive dual pairs. We will use these filtrations to calculate the associated cycles and…