Semisimple types for \(p\)-adic classical groups

DOI10.1007/s00208-013-0953-yzbMath1294.22015arXiv1212.0525OpenAlexW153730630MaRDI QIDQ2439291

Shaun Stevens, Michitaka Miyauchi

Publication date: 14 March 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0525

zbMATH Keywords

Hecke algebras\(p\)-adic groupssmooth representationsclassical groupsBernstein decompositionsemi-simple types

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (17)

Generic cuspidal representations of \(U(2, 1)\) ⋮ Endomorphism algebras and Hecke algebras for reductive \(p\)-adic groups ⋮ On the analytic properties of intertwining operators. II: Local degree bounds and limit multiplicities ⋮ Cuspidal irreducible complex or \(l\)-modular representations of quaternionic forms of \(p\)-adic classical groups for odd \(p\) ⋮ The Gelfand–Graev representation of classical groups in terms of Hecke algebras ⋮ Restricting admissible representations to fixed-point subgroups ⋮ Algebraic number theory. Abstracts from the workshop held June 25--30, 2023 ⋮ Unicity of types for supercuspidal representations of \(p\)-adic \(\mathbf{SL}_{2}\) ⋮ Jordan blocks of cuspidal representations of symplectic groups ⋮ Endo-parameters for \(p\)-adic classical groups ⋮ Types for tame \(p\)-adic groups ⋮ Conjectures about 𝑝-adic groups and their noncommutative geometry ⋮ Affine Hecke algebras and their representations ⋮ Beta extensions and cuspidal types for \(p\)-adic spin groups ⋮ Base change for ramified unitary groups: the strongly ramified case ⋮ On typical representations for depth-zero components of split classical groups ⋮ Cuspidal \(\ell\)-modular representations of \(p\)-adic classical groups

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