Algebraic and analytic Dirac induction for graded affine Hecke algebras

DOI10.1017/S147474801300008XzbMath1362.20004arXiv1201.2130OpenAlexW2104188489MaRDI QIDQ5168394

Dan Ciubotaru, Peter E. Trapa, Eric M. Opdam

Publication date: 4 July 2014

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2130

zbMATH Keywords

elliptic representationsDirac indexgraded affine Hecke algebra

Mathematics Subject Classification ID

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

Related Items (14)

A uniform classification of discrete series representations of affine Hecke algebras ⋮ Endomorphism algebras and Hecke algebras for reductive \(p\)-adic groups ⋮ Dirac operators for the Dunkl angular momentum algebra ⋮ Spectral correspondences for affine Hecke algebras ⋮ A vanishing theorem for Dirac cohomology of standard modules ⋮ Characters of Springer representations on elliptic conjugacy classes ⋮ Construction of discrete series representations of SOe(4,1) via algebraic Dirac induction ⋮ Dirac cohomology for symplectic reflection algebras ⋮ Euler-Poincaré pairing, Dirac index and elliptic pairing for Harish-Chandra modules ⋮ Topological K-theory of affine Hecke algebras ⋮ Spectral transfer morphisms for unipotent affine Hecke algebras ⋮ Green polynomials of Weyl groups, elliptic pairings, and the extended Dirac index ⋮ Dirac cohomology of one-$W$-type representations ⋮ Formal degrees of unipotent discrete series representations and the exotic Fourier transform

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