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

2016/07/27 by Alan Roche, Roche, Alan, C. Ryan Vinroot +1 · 1 citation
Mathematics · #20G05 #22E50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Representation Theory (math.RT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1607.08148

openalex publication_date 2016/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Building on ideas of Tupan, we give an elementary proof of a result of Mœglin, Vignéras 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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