Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CJM
Abstract view

The Weil Character of the Unitary Group Associated to a Finite Local Ring

Published:2002-12-01
Printed: Dec 2002
• Roderick Gow
• Fernando Szechtman
 Format: HTML LaTeX MathJax PDF PostScript

Abstract

Let $\mathbf{R}/R$ be a quadratic extension of finite, commutative, local and principal rings of odd characteristic. Denote by $\mathbf{U}_n (\mathbf{R})$ the unitary group of rank $n$ associated to $\mathbf{R}/R$. The Weil representation of $\mathbf{U}_n (\mathbf{R})$ is defined and its character is explicitly computed.
 MSC Classifications: 20G05 - Representation theory

© Canadian Mathematical Society, 2014 : https://cms.math.ca/