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Splittings of the metaplectic covers of some reductive dual pairs

Splittings of the metaplectic covers of some reductive dual pairs

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 …