# On certain sign characters of tori and their extensions to Bruhat-Tits groups

@article{Fintzen2019OnCS, title={On certain sign characters of tori and their extensions to Bruhat-Tits groups}, author={Jessica Fintzen and Tasho Kaletha and Loren Spice}, journal={arXiv: Representation Theory}, year={2019} }

We consider two sign characters defined on a tamely ramified maximal torus T of a twisted Levi subgroup M of a reductive p-adic group G. We show that their product extends to the stabilizer M(F)_x of any point x in the Bruhat-Tits building of T, and give a formula for this extension. This result is used in the passage between zero and positive depth in the explicit construction of supercuspidal L-packets, as well as in forthcoming work on the Harish-Chandra character formula for supercuspidal… Expand

#### One Citation

Supercuspidal L-packets

- Mathematics
- 2019

Let F be a non-archimedean local field and let G be a connected reductive group defined over F. We assume that G splits over a tame extension of F and that the residual characteristic p does not… Expand

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