Splitting metaplectic cover groups

Published 1 Apr 2014 in math.RT | (1404.0292v3)

Abstract: If $(G_1, G_2)$ is a dual reductive pair of type I in $Sp(W)$, it is known that the degree $8$ metaplectic cover of $Sp(W)$ splits over $G_1G_2$, with one obvious exception. In this paper we replace $G_1G_2$ by a larger subgroup obtained via similitude groups, and show that the degree $8$ metaplectic cover splits, with the same obvious exception.

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Chun-Hui Wang

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