Formulae for two-variable Green functions

Published 8 Feb 2021 in math.GR and math.RT | (2102.04055v2)

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.

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