Geodesic
The Weil Character of the Unitary Group Associated to a Finite Local Ring
Canadian journal of mathematics, Tome 54 (2002) no. 6, pp. 1229-1253

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-2002-047-5
Mots-clés : 20G05 
Gow, Roderick; Szechtman, Fernando. The Weil Character of the Unitary Group Associated to a Finite Local Ring. Canadian journal of mathematics, Tome 54 (2002) no. 6, pp. 1229-1253. doi: 10.4153/CJM-2002-047-5
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