On the reducibility of induced representations for classical \(p\)-adic groups and related affine Hecke algebras

DOI10.1007/S11856-019-1857-7OpenAlexW2963722373MaRDI QIDQ2421899

Volker Heiermann, Dan Ciubotaru

Publication date: 18 June 2019

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

Full work available at URL: https://arxiv.org/abs/1710.06223

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) Representation theory of groups (20Cxx) Lie groups (22Exx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functors for unitary representations of classical real groups and affine Hecke algebras
• Tempered modules in exotic Deligne-Langlands correspondence
• Discrete series characters for affine Hecke algebras and their formal degrees.
• Intertwining operators and Hecke algebras with parameters from a reductive \(p\)-adic group: The case of the classical groups.
• An exotic Deligne-Langlands correspondence for symplectic groups.
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• A construction of representations of Weyl groups
• Duality between \(\mathfrak{sl}_n(\mathbb C)\) and the degenerate affine Hecke algebra
• Local Langlands correspondence for classical groups and affine Hecke algebras
• Hecke algebras with parameters and representations of a classical \(p\)-adic group: preservation of tempered spectrum
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Graded Lie Algebras and Intersection Cohomology
• Affine Hecke Algebras and Their Graded Version
• Representation Theory and Complex Geometry
• On supports of induced representations for symplectic and odd-orthogonal groups
• Isogenies of Hecke algebras and a Langlands correspondence for ramified principal series representations
• Some results on reducibility of parabolic induction for classical groups
• Reduction to Real Infinitesimal Character in Affine Hecke Algebras

This page was built for publication: On the reducibility of induced representations for classical \(p\)-adic groups and related affine Hecke algebras