Journal of Lie Theory EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 14, No. 1, pp. 1--9 (2004)

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Weil Representations for $SL_*(2,A)$ over a locally profinite ring with involution

Roberto Johnson and José Pantoja

Roberto Johnson
Universidad Católica de Valparaiso
Chile
rjohnson@ucv.cl
and
José Pantoja
Universidad Católica de Valparaiso
Chile
jpantoja@ucv.cl

Abstract: We construct, via a complex $G-$ bundle space, a Weil representation for the group $G=SL_{\ast}(2,{\bf A})$, where $({\bf A},\ast)$ is a locally profinite ring with involution. The construction is obtained using maximal isotropic lattices and Heisenberg groups.

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Electronic version published on: 29 Jan 2004. This page was last modified: 1 Sep 2004.

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