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math.RT2022
Finite Theta Correspondence of Almost Characters
Shu-Yen Pan
The theory of almost characters which is closely related to character sheaves is proposed by Lusztig to study the representation theory of finite reductive groups. In this article…
math.RT2022
Generalized Preservation Principle in Finite Theta Correspondence
Shu-Yen Pan
It is known that irreducible cuspidal characters satisfy the preservation principle in the Howe correspondences of finite reductive dual pairs. In this article, we generalize the p…
math.RT2022★ 1 cited
On the Unicity and the Ambiguity of Lusztig Parametrizations for Finite Classical Groups
Shu-Yen Pan
The Lusztig correspondence is a bijective mapping between the Lusztig series indexed by the conjugacy class of a semisimple element in the connected component of the…