Inequalities characterizing distinguished unipotent orbits
Representation Theory
2024-09-11 v1 Group Theory
Abstract
In this paper we prove a new characterization of the distinguished unipotent orbits of a connected reductive group over an algebraically closed field of characteristic 0. For classical groups we prove the characterization by a combinatorial computation, and for exceptional groups we check it with a computer. This characterization is needed in the theory of cuspidal sheaves on the stack of L-parameters in forthcoming work of the first two named authors.
Keywords
Cite
@article{arxiv.2409.06006,
title = {Inequalities characterizing distinguished unipotent orbits},
author = {Alexander Bertoloni Meli and Teruhisa Koshikawa and Jonathan Leake},
journal= {arXiv preprint arXiv:2409.06006},
year = {2024}
}
Comments
23 pages, comments welcome!