Dualizing involutions for classical and similitude groups over local non-archimedean fields

Alan Roche; C. Ryan Vinroot

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arXiv · 1607.08148

Dualizing involutions for classical and similitude groups over local non-archimedean fields

Alan Roche·C. Ryan Vinroot

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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 $p$-adic classical groups that take each irreducible smooth representations to its dual. Our proof also applies to the corresponding similitude groups.

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BibTeX RIS

Alan Roche, C. Ryan Vinroot. 2016-07-27. Dualizing involutions for classical and similitude groups over local non-archimedean fields. https://arxiv.org/abs/1607.08148

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