8 citations · 10 across the 3 of their papers we have counts for
4 papers
A note on dual modules and the transpose
Thomas Madsen, Alan Roche, C. Ryan Vinroot
It is a classical result in matrix algebra that any square matrix over a field can be conjugated to its transpose by a symmetric matrix. For a non-Archimedean local field, Tupa…
Dualizing involutions for classical and similitude groups over local non-archimedean fields
Alan Roche, C. Ryan Vinroot
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 -adic classical groups that tak…
A factorization result for classical and similitude groups
Alan Roche, C. Ryan Vinroot
For most classical and similitude groups, we show that each element can be written as a product of two transformations that a) preserve or almost preserve the underlying form and b…
Signs, involutions and Jacquet modules
Alan Roche, Steven Spallone
Let be a connected reductive -adic group and let be an automorphism of of order at most two. Suppose is an irreducible smooth representation of that is taken…