On the Iwahori-Matsumoto involution and applications

DOI10.24033/asens.1724zbMath0840.22030OpenAlexW56879777MaRDI QIDQ4853846

Chris Jantzen

Publication date: 11 December 1995

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1995_4_28_5_527_0

zbMATH Keywords

Weyl grouprepresentationintertwining operatorsHecke algebra\(p\)-adic groupIwahori subgroupIwahori-Matsumoto involutionLevi group

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (9)

Construct weak Hopf algebras by using Borcherds matrix. ⋮ The Aubert involution and R-groups ⋮ The double Ringel-Hall algebras of valued quivers. ⋮ The endomorphism ring of projectives and the Bernstein centre ⋮ The degenerate principal series representations of exceptional groups of type \(E_6\) over \(p\)-adic fields ⋮ Linear independence of intertwining operators. ⋮ On the colored Jones polynomial and the Kashaev invariant ⋮ Some graded bialgebras related to Borcherds superalgebras ⋮ Duality and the normalization of standard intertwining operators

Cites Work

• On certain Iwahori invariants in the unramified principal series
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• On elliptic tempered characters
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Intertwining operators and residues. I: Weighted characters
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• $L$-indistinguishability and $R$-groups for quasisplit groups : unitary groups in even dimension
• Sur les représentations non ramifiées des groupes réductifs $p$-adiques ; l'exemple de $GSp(4)$
• Induced representations of reductive ${\germ p}$-adic groups. I
• Reducibility of Induced Representations for SP(2N) and SO(N)
• Nonstandard intertwining operators and the structure of unramified principal series representations
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