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The Weil Character of the Unitary Group Associated to a Finite Local Ring
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $\mathbf{R}/R$ be a quadratic extension of finite, commutative, local and principal rings of odd characteristic. Denote by ${{\mathbf{U}}_{n}}\left( \mathbf{R} \right)$ the unitary group of rank $n$ associated to $\mathbf{R}/R$. The Weil representation of ${{\mathbf{U}}_{n}}\left( \mathbf{R} \right)$ is defined and its character is explicitly computed.
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- Copyright © Canadian Mathematical Society 2002
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