Dualizing involutions for classical and similitude groups over local non-archimedean fields
Representation Theory
2016-07-28 v1
Abstract
Building on ideas of Tupan, we give an elementary proof of a result of M{\oe}glin, Vign\'{e}ras and Waldspurger on the existence of automorphisms of many -adic classical groups that take each irreducible smooth representations to its dual. Our proof also applies to the corresponding similitude groups.
Cite
@article{arxiv.1607.08148,
title = {Dualizing involutions for classical and similitude groups over local non-archimedean fields},
author = {Alan Roche and C. Ryan Vinroot},
journal= {arXiv preprint arXiv:1607.08148},
year = {2016}
}