Dirac cohomology of one-$W$-type representations

DOI10.1090/S0002-9939-2014-12303-3zbMath1311.22021arXiv1208.4664OpenAlexW2065235076MaRDI QIDQ5496438

Allen Moy, Dan Ciubotaru

Publication date: 2 February 2015

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

Full work available at URL: https://arxiv.org/abs/1208.4664

zbMATH Keywords

Dirac operatorunitary representationsreductive \(p\)-adic groupLanglands classificationDirac cohomologycentral charactergraded affine Hecke algebrahermitian modules

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (1)

Ladder representations of GL ( n , ℚ p ) $$\mathrm{GL}(n, \mathbb{Q}_{p})$$

Cites Work

• Unnamed Item
• Cuspidal local systems and graded Hecke algebras. I
• Shifted tableaux and the projective representations of symmetric groups
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• Applications of minor summation formulas to rectangular-shaped representations of classical groups
• Unitary spherical spectrum for \(p\)-adic classical groups
• Dirac cohomology for graded affine Hecke algebras.
• Spin representations of Weyl groups and the Springer correspondence
• Affine Hecke Algebras and Their Graded Version
• On Projective Representations of the Finite Reflection Groups of Type B _t and D _t
• Projective Representations of Reflection Groups II
• Classification of one $\textsf K$-type representations
• Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
• Algebraic and analytic Dirac induction for graded affine Hecke algebras
• Reduction to Real Infinitesimal Character in Affine Hecke Algebras

This page was built for publication: Dirac cohomology of one-$W$-type representations