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arXiv · 1404.0292

Splitting metaplectic cover groups

Chun-Hui Wang
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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. 2014-04-01. Splitting metaplectic cover groups. https://arxiv.org/abs/1404.0292

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