Alan Roche

activity

20122019

most citedA factorization result for classical and similitude groups

8 citations · 10 across the 3 of their papers we have counts for

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math.RT2016★ 2 cited

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 $p$ -adic classical groups that tak…

math.RT2016★ 8 cited

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…

math.RT2012

Signs, involutions and Jacquet modules

Alan Roche, Steven Spallone

Let $G$ be a connected reductive $p$ -adic group and let $θ$ be an automorphism of $G$ of order at most two. Suppose $π$ is an irreducible smooth representation of $G$ that is taken…