Splittings of the Metaplectic Covers of Some Reductive Dual Pairs
نویسندگان
چکیده
In this paper, we construct a splitting of the metaplectic cover of the reductive dual pairs of orthogonal and symplectic groups or the reductive dual pairs of unitary groups over a nonarchimedean local field with respect to a generalized lattice model of the Weil representation. We also prove a result concerning the splitting that we construct and the theta dichotomy for unitary group. The splitting plays a very crucial role in the study of theta correspondence for p-adic and finite reductive dual pairs.
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