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arXiv · 2401.04581

The Metaplectic Representation is Faithful

Christopher Chang·Simeon Hellsten·Mario Marcos Losada·Sergiu Novac
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Abstract

We develop methods to show that infinite-dimensional modules over the Iwasawa algebra $KG$ of a uniform pro-p group are faithful and apply them to show that the metaplectic representation for the symplectic group is faithful.

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Christopher Chang, Simeon Hellsten, Mario Marcos Losada, Sergiu Novac. 2024-01-09. The Metaplectic Representation is Faithful. https://arxiv.org/abs/2401.04581

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