Smooth representations of \(\text{GL}_m(D)\). V: Endo-classes
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Publication:418682
zbMath1280.22018arXiv1004.5032MaRDI QIDQ418682
Shaun Stevens, Vincent Sécherre, Paul Broussous
Publication date: 29 May 2012
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.5032
Shintani liftrepresentations of \(p\)-adic groupstype theoryJacquet-Langlands correspondencesimple characters
Related Items (18)
The inertial Jacquet-Langlands correspondence ⋮ Blocks of the category of smooth \(\ell\)-modular representations of \(\mathrm{GL}(n,F)\) and its inner forms: reduction to level 0 ⋮ The centralizer of a classical group and Bruhat-Tits buildings. ⋮ Cuspidal irreducible complex or \(l\)-modular representations of quaternionic forms of \(p\)-adic classical groups for odd \(p\) ⋮ Semisimple characters for inner forms. I: \(\mathrm{GL}_m (D)\) ⋮ INTERTWINING SEMISIMPLE CHARACTERS FOR -ADIC CLASSICAL GROUPS ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Semisimple types for \(p\)-adic classical groups ⋮ Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\) ⋮ Endo-parameters for \(p\)-adic classical groups ⋮ Semisimple characters for inner forms II: Quaternionic forms of 𝑝-adic classical groups (𝑝 odd) ⋮ Geometric conditions for \(\square\)-irreducibility of certain representations of the general linear group over a non-Archimedean local field ⋮ On parabolic induction on inner forms of the general linear group over a non-archimedean local field ⋮ Local Jacquet-Langlands correspondences for simple supercuspidal representations ⋮ Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case ⋮ Cuspidal \(\ell\)-modular representations of \(p\)-adic classical groups ⋮ Endo-class and the Jacquet-Langlands correspondence ⋮ Local Jacquet-Langlands corespondence and congruences modulo \(\ell\)
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