Schur algebras of reductive \(p\)-adic groups. I

DOI10.1215/S0012-7094-03-11612-9zbMath1018.22015OpenAlexW1580443957MaRDI QIDQ1872786

Marie-France Vignéras

Publication date: 2 September 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-03-11612-9

zbMATH Keywords

Schur algebrasrepresentations\(p\)-adic groupsaffine quantum groups

Mathematics Subject Classification ID

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

Related Items (9)

Parahoric restriction for \(\mathrm{GSp}(4)\) ⋮ Affine quiver Schur algebras and \(p\)-adic \(\mathrm{GL}_n\) ⋮ Genericity under parahoric restriction ⋮ Higher level affine Schur and Hecke algebras ⋮ On semisimple \(\ell\)-modular Bernstein-blocks of a \(p\)-adic general linear group ⋮ Cuspidal \(\ell\)-modular representations of \(p\)-adic classical groups ⋮ On the Hecke-algebraic approach for general linear groups over a \(p\)-adic field ⋮ Categorical representations and classical \(p\)-adic groups ⋮ Affine Hecke algebras and quantum symmetric pairs

Cites Work

• Polynomial representations of \(GL_n\)
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• Induced \(R\)-representations of \(p\)-adic reductive groups
• The affine \(q\)-Schur algebra
• Tamely ramified intertwining algebras
• Representation theory and sheaves on the Bruhat-Tits building
• The group ring of \(\text{GL}_ n(q)\) and the \(q\)-Schur algebra
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Generic and \(q\)-rational representation theory
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Reductive groups over a local field
• Quantum GL_n
• Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic^∗
• The q ‐Schur Algebra
• q-Tensor Space and q-Weyl Modules
• Types et inductions pour les représentations modulaires des groupes p-adiques
• La conjecture de Langlands locale pour GL(n,F) modulo quand ≠p, >n
• Semisimple Langlands correspondence for \(\operatorname {GL}(n,F)\bmod \ell\neq p\)
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