Document Type
Article
Department/Program
Mathematics
Journal Title
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
Pub Date
3-2-2018
Volume
61
Issue
1
First Page
1
Abstract
For most classical and similitude groups, we show that each element can be written as a product of two transformations that preserve or almost preserve the underlying form and whose squares are certain scalar maps. This generalizes work of Wonenburger and Vinroot. As an application, we re-prove and slightly extend a well-known result of Meeglin, Vigneras, and Waldspurger on the existence of automorphisms of p-adic classical groups that take each irreducible smooth representation to its dual.
Recommended Citation
Roche, Alan and Vinroot, Ryan, A Factorization Result for Classical and Similitude Groups (2018). CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 61(1), 1-16.
https://doi.org/10.4153/CMB-2017-046-0
DOI
https://doi.org/10.4153/CMB-2017-046-0
