arXiv Analytics

Sign in

arXiv:2007.15768 [math.RT]AbstractReferencesReviewsResources

Decomposition of the Uniform Projection of the Weil Character

Shu-Yen Pan

Published 2020-07-30Version 1

In this paper we obtain a decomposition formula of the uniform projection of the Weil character of a finite reductive dual pair consisting of a symplectic group and an even orthogonal group. This is the first and major step to give an explicit description of the Howe correspondence on unipotent characters confirming a conjecture by Aubert-Michel-Rouquier.

Comments: This work previously appeared under arXiv:1901.00623v1 (and v2), which has been split into two parts. The second part is now available as arXiv:1901.00623v3
Categories: math.RT
Subjects: 20C33
Related articles: Most relevant | Search more
arXiv:1711.05778 [math.RT] (Published 2017-11-15)
On the values of unipotent characters in bad characteristic
arXiv:2301.05151 [math.RT] (Published 2023-01-12)
A local-global principle for unipotent characters
arXiv:1508.01627 [math.RT] (Published 2015-08-07)
A Murnaghan--Nakayama rule for values of unipotent characters in classical groups

Links

Toolbox