Representations of GL(n) over a p-adic field with an Iwahori-fixed vector

DOI10.1007/BF02764944zbMath0602.20038MaRDI QIDQ1081702

Jonathan D. Rogawski

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hecke algebrasIwahori subgroupfinite-dimensional modulesIwahori-fixed vectorrepresentations of GL(n)

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Linear algebraic groups over local fields and their integers (20G25)

Related Items (4)

Simple modules in characteristic \(p\) of the pro-\(p\) Iwahori Hecke algebra of \(\mathrm{GL}_3(F)\) ⋮ Standard multipartitions and a combinatorial affine Schur-Weyl duality ⋮ Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\) ⋮ Affine cellular algebras.

Cites Work

• Unnamed Item
• On modules over the Hecke algebra of a p-adic group
• Representations of Coxeter groups and Hecke algebras
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$

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