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math.RT2021
Degree Differences in the Eta Correspondences
Shu-Yen Pan
A sub-relation of the -correspondence called the \emph{-correspondence} is defined by Gurevich-Howe for a finite reductive dual pair in stable range. In this paper we propose…
math.RT2021★ 3 cited
On Theta Ranks of Irreducible Characters of a Finite Classical Group
Shu-Yen Pan
In this paper, we interpret the theta rank of an irreducible character of a finite classical group in terms of the data from the Lusztig classification. Then we prove the following…