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The Weil Character of the Unitary Group Associated to a Finite Local Ring |
Canad. J. Math. 54(2002), 1229-1253
Published:2002-12-01
Printed: Dec 2002
Printed: Dec 2002
- Roderick Gow
- Fernando Szechtman
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 |