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arXiv · 2110.04999

Maximal Unramified Tori in Symplectic Groups

Jacob Haley
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Abstract

For a reductive group over a $p$-adic field, DeBacker gives a paramaterization of the conjugacy classes of maximal unramified tori using Bruhat-Tits theory. On the other hand, for unramified classical groups, Waldspurger gives a parameterization in terms of triples of partitions by constructing a regular semisimple element whose structure is governed by the parts of the partitions. In this paper, we compare these two parameterizations in the case of the symplectic group Sp$_{2n}$.

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BibTeXRIS

Jacob Haley. 2021-10-11. Maximal Unramified Tori in Symplectic Groups. https://arxiv.org/abs/2110.04999

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