Branching graphs for finite unitary groups in non-defining characteristic
Representation Theory
2015-02-09 v1
Abstract
We show that the modular branching rule (in the sense of Harish-Chandra) on unipotent modules for finite unitary groups is piecewise described by particular connected components of the crystal graph of well-chosen Fock spaces, under favourable conditions. Besides, we give the combinatorial formula to pass from one to the other in the case of modules arising from cuspidal modules of defect 0. This partly proves a recent conjecture of Jacon and the authors.
Keywords
Cite
@article{arxiv.1502.01868,
title = {Branching graphs for finite unitary groups in non-defining characteristic},
author = {Thomas Gerber and Gerhard Hiss},
journal= {arXiv preprint arXiv:1502.01868},
year = {2015}
}