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arXiv:2207.06688 [math.RT]AbstractReferencesReviewsResources

Generalized Preservation Principle in Finite Theta Correspondence

Shu-Yen Pan

Published 2022-07-14Version 1

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 preservation principle to any irreducible characters of classical groups.

Comments: The results in this paper replace Section 8-10 of old version of arXiv:1906.01158
Categories: math.RT
Subjects: 20C33
Related articles:
arXiv:2208.01246 [math.RT] (Published 2022-08-02)
Finite Theta Correspondence of Almost Characters
arXiv:2206.04900 [math.RT] (Published 2022-06-10)
On the Unicity and the Ambiguity of Lusztig Parametrizations for Finite Classical Groups

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