On unitary unipotent representations of 𝑝-adic groups and affine Hecke algebras with unequal parameters

DOI10.1090/S1088-4165-08-00338-5zbMath1157.22009arXiv0810.5366OpenAlexW1977643804MaRDI QIDQ3614522

Dan Ciubotaru

Publication date: 9 March 2009

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.5366

Mathematics Subject Classification ID

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

Related Items (8)

On the classification of irreducible representations of affine Hecke algebras with unequal parameters ⋮ Spin representations of Weyl groups and the Springer correspondence ⋮ Tempered modules in exotic Deligne-Langlands correspondence ⋮ A vanishing theorem for Dirac cohomology of standard modules ⋮ Characters of Springer representations on elliptic conjugacy classes ⋮ Affine Hecke algebras and their representations ⋮ Homology of graded Hecke algebras. ⋮ Topological K-theory of affine Hecke algebras

Cites Work

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• On the Green polynomials of classical groups
• Discrete series characters for affine Hecke algebras and their formal degrees.
• Green functions of finite Chevalley groups of type \(E_ n (n=6,7,8)\)
• Intersection cohomology complexes on a reductive group
• Cuspidal local systems and graded Hecke algebras. I
• An exotic Deligne-Langlands correspondence for symplectic groups.
• Erratum to: Character sheaves. V
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• A unitarity criterion for p-adic groups
• Representations of real reductive Lie groups
• Classes unipotentes et sous-groupes de Borel
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A construction of representations of Weyl groups
• Whittaker models and unipotent representations of \(p\)-adic groups
• The unitary dual of \(p\)-adic \(G_2\)
• Unitary spherical spectrum for \(p\)-adic classical groups
• Unitarizability of certain series of representations
• Spherical unitary principal series
• Affine Hecke Algebras and Their Graded Version
• The unitary spherical spectrum for split classical groups
• Whittaker unitary dual of affine graded Hecke algebras of type E
• On the green polynomials of a chevalley group of type f₄
• ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS
• The unitary 𝕀–spherical dual for split 𝕡–adic groups of type 𝔽₄
• Cuspidal local systems and graded Hecke algebras, III
• A computation of green functions for some classical groups
• Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
• The Langlands classification for graded Hecke algebras
• Formal degrees and L--packets of unipotent discrete series representations of exceptional p--adic groups
• Reduction to Real Infinitesimal Character in Affine Hecke Algebras
• Unitary ℐ-spherical representations for split 𝓅-adic 𝐄₆

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