Characters of Springer representations on elliptic conjugacy classes

DOI10.1215/00127094-1961735zbMath1260.22012arXiv1105.4113OpenAlexW2088757841MaRDI QIDQ1939193

Peter E. Trapa, Dan Ciubotaru

Publication date: 27 February 2013

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4113

Mathematics Subject Classification ID

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

Related Items (12)

Duality for Ext-groups and extensions of discrete series for graded Hecke algebras ⋮ A uniform classification of discrete series representations of affine Hecke algebras ⋮ A vanishing theorem for Dirac cohomology of standard modules ⋮ Dirac cohomology for symplectic reflection algebras ⋮ Euler-Poincaré pairing, Dirac index and elliptic pairing for Harish-Chandra modules ⋮ Dirac index and twisted characters ⋮ Algebraic and analytic Dirac induction for graded affine Hecke algebras ⋮ Green polynomials of Weyl groups, elliptic pairings, and the extended Dirac index ⋮ Dirac cohomology, elliptic representations and endoscopy ⋮ Dirac cohomology of the Dunkl-Opdam subalgebra via inherited Drinfeld properties ⋮ Formal degrees of unipotent discrete series representations and the exotic Fourier transform ⋮ Unitary Hecke algebra modules with nonzero Dirac cohomology

Cites Work

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• ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS
• Algebraic and analytic Dirac induction for graded affine Hecke algebras

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