Supercuspidal representations of GLn (F) distinguished by a Galois involution

V Sécherre - Algebra & Number Theory, 2019 - msp.org
Abstract Let F∕ F 0 be a quadratic extension of nonarchimedean locally compact fields of
residual characteristic p≠ 2 and let σ denote its nontrivial automorphism. Let R be an …

The Prasad conjectures for GSp4 and PGSp4

H Lu - Algebra & Number Theory, 2020 - msp.org
We use the theta correspondence between GSp 4 (E) and GO (V) to study the GSp 4-
distinction problems over a quadratic extension E∕ F of nonarchimedean local fields of …

ON-DISTINGUISHED REPRESENTATIONS OF THE QUASI-SPLIT UNITARY GROUPS

A Mitra, O Offen - Journal of the Institute of Mathematics of Jussieu, 2021 - cambridge.org
We study Sp2n (F)-distinction for representations of the quasi-split unitary group U2n (E/F) in
2n variables with respect to a quadratic extension E/F of p-adic fields. A conjecture of Dijols …

Gamma factors of intertwining periods and distinction for inner forms of GL (n)

N Matringe - Journal of Functional Analysis, 2021 - Elsevier
Let F be a p-adic field, E be a quadratic extension of F, D be an F-central division algebra of
odd index and let θ be the Galois involution attached to E/F. Set H= GL (m, D), G= GL (m, D⊗ …

[图书][B] Construction of relative discrete series representations for p-adic GLn

JM Smith - 2017 - search.proquest.com
Let F be a nonarchimedean local field of characteristic zero and odd residual characteristic.
Let G be the F-points of a connected reductive group defined over F and let θ be an F …

On the relationship between distinction and irreducibility of parabolic induction

A Mitra - Comptes Rendus. Mathématique, 2019 - comptes-rendus.academie-sciences …
Let G be a topological group, H a closed subgroup of G and χ a complex valued character of
the group H. A smooth complex valued representation (π, V) of G is said to be (H, χ) …

Supercuspidal representations of distinguished by a Galois involution

V Sécherre - 2019 - projecteuclid.org
Abstract Let F∕ F 0 be a quadratic extension of nonarchimedean locally compact fields of
residual characteristic p≠ 2 and let σ denote its nontrivial automorphism. Let R be an …

Quaternion distinguished generic representations of GL2n

M Suzuki - Israel Journal of Mathematics, 2020 - Springer
Let E/F be a quadratic extension of non-Archimedean local fields of characteristic 0. Let D be
the unique quaternion division algebra over F and fix an embedding of E to D. Then, GL m …

[引用][C] 1. Overview 1 2. Themes 1 2.1. Universality of type A representation categories 1 2.2. Prominence of combinatorially accessible classes of representations 2 3 …

M GUREVICH - 2018