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Journal of Lie Theory 14 (2004), No. 1, 001--010
Copyright Heldermann Verlag 2004

Weil Representations of SL*(2, A) for a Locally Profinite Ring A with Involution

Roberto Johnson, Josť Pantoja
Universidad Catolica de Valparaiso, Chile, rjohnson@ucv.cl, jpantoja@ucv.cl

We construct, via a complex G-bundle space, a Weil representation for the group G = SL*(2, A), where (A, *) is a locally profinite ring with involution. The construction is obtained using maximal isotropic lattices and Heisenberg groups.

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