Unitary Hecke algebra modules with nonzero Dirac cohomology

DOI10.1007/978-1-4939-1590-3_1zbMath1326.20004arXiv1109.5064OpenAlexW1962969651MaRDI QIDQ5250227

Dan Barbasch, Dan Ciubotaru

Publication date: 19 May 2015

Published in: Symmetry: Representation Theory and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5064

zbMATH Keywords

Dirac operatorunitary representationsDirac cohomologygraded affine Hecke algebrasspherical modulescrystallographic real root systemsSpeh modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Root systems (17B22)

Related Items (1)

A vanishing theorem for Dirac cohomology of standard modules

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