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

Open Access article
 Printed: Dec 2002
  • Roderick Gow
  • Fernando Szechtman
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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 show english descriptions Representation theory 20G05 - Representation theory

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