Relative discrete series representations for two quotients of p-adic GLn

JM Smith - Canadian Journal of Mathematics, 2018 - cambridge.org
We provide an explicit construction of representations in the discrete spectrum of two of
characteristic zero and odd residual characteristic. The proof of the main result involves an …

Higher Ext-groups and Relatively Supercuspidal Spectra

L Cai, Y Fan - arxiv preprint arxiv:2108.05591, 2021 - arxiv.org
Relatively supercuspidal representations are analogue of supercuspidal representations in
the relative Langlands program. This work studies relatively supercuspidal representations …

The support of closed orbit relative matrix coefficients

JM Smith - manuscripta mathematica, 2021 - Springer
Let F be a nonarchimedean local field with odd residual characteristic and let G be the F-
points of a connected reductive group defined over F. Let θ θ be an F-involution of G. Let H …

Relative discrete series representations for two quotients of -adic

JM Smith - arxiv preprint arxiv:1703.03450, 2017 - arxiv.org
We provide an explicit construction of representations in the discrete spectrum of two $ p $-
adic symmetric spaces. We consider $\mathbf {GL} _n (F)\times\mathbf {GL} _n …