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arXiv · 1209.1429

A minimal even type of the 2-adic Weil representation

Aaron Wood
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Abstract

The Weil representation is used to construct a minimal type of the two-fold central extension of $\operatorname{Sp}_{2n}(\mathbb{Q}_2)$. The corresponding Hecke algebra is shown to be isomorphic to the classical affine Hecke algebra of the split adjoint orthogonal group $\operatorname{SO}_{2n+1}(\mathbb{Q}_2)$.

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Aaron Wood. 2013-10-29. A minimal even type of the 2-adic Weil representation. https://arxiv.org/abs/1209.1429

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