2 problems

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Goldberg–Jantzen type product formula for tempered generalized principal series
Let $I^G_P(\nu,\sigma)$ be a tempered generalized principal series, where $P=MN$ is a parabolic subgroup, $\sigma$ is a unitary supercuspidal representation of $M$ , and…
Conjectureopenparabolic-induction representation-theory r-groupsarXiv posted 2 days ago
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Transfer of R-groups between p-adic inner forms of $\operatorname{SL}_n$
Transfer conjecture. For every discrete series representation $\sigma\in\Pi_\phi(M)$ , one has
Conjectureopenp-adic-groups representation-theory r-groupsarXiv posted 2 days ago

Goldberg–Jantzen type product formula for tempered generalized principal series