Formulae for two-variable Green functions
Group Theory
2021-06-04 v2 Representation Theory
Abstract
Based on results of Digne-Michel-Lehrer (2003) we give two formulae for two-variable Green functions attached to Lusztig induction in a finite reductive group. We present applications to explicit computation of these Green functions, to conjectures of Malle and Rotilio, and to scalar products between Lusztig inductions of Gelfand-Graev characters.
Cite
@article{arxiv.2102.04055,
title = {Formulae for two-variable Green functions},
author = {François Digne and Jean Michel},
journal= {arXiv preprint arXiv:2102.04055},
year = {2021}
}