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arXiv · 2102.09220

On Theta Ranks of Irreducible Characters of a Finite Classical Group

Shu-Yen Pan
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Abstract

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 two results: (1) the agreement of the $U$-rank and the theta rank for any irreducible character of low Theta rank; (2) the agreement of the parabolic asymptotic rank and the theta rank for any irreducible character.

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BibTeXRIS

Shu-Yen Pan. 2021-02-18. On Theta Ranks of Irreducible Characters of a Finite Classical Group. https://arxiv.org/abs/2102.09220

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