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 involutionRoberto Johnson and José PantojaRoberto JohnsonUniversidad 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. Full text of the article:
Electronic version published on: 29 Jan 2004. This page was last modified: 1 Sep 2004.
© 2004 Heldermann Verlag
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