The twisted Gan-Gross-Prasad problem for finite classical groups
Nhat Hoang Le
TL;DR
This paper investigates the twisted Gan-Gross-Prasad problem for finite classical groups, providing a multiplicity formula for Deligne-Lusztig characters and a complete classification for certain cuspidal representations.
Contribution
It introduces a new multiplicity formula for Deligne-Lusztig characters and fully solves the problem for cuspidal representations from elliptic tori.
Findings
Derived a multiplicity formula for Deligne-Lusztig characters.
Provided a complete classification for cuspidal representations from elliptic tori.
Enhanced understanding of the twisted Gan-Gross-Prasad problem in finite classical groups.
Abstract
In this paper, we study the twisted Gan-Gross-Prasad problem for classical groups over finite fields. We formulate a multiplicity formula for Deligne-Lusztig characters and give a complete answer for cuspidal representations arising from elliptic tori.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Coding theory and cryptography