Dirac operators and Lie algebra cohomology

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dc.creatorHuang, Jing-Song
dc.creatorPandžić, Pavle
dc.creatorRenard, David
dc.date2005-03-25
dc.date.accessioned2026-07-07T05:18:27Z
dc.date.available2026-07-07T05:18:27Z
dc.descriptionDirac cohomology is a new tool to study unitary and admissible representations of semisimple Lie groups. It was introduced by Vogan and further studied by Kostant and ourselves \cite{V2}, \cite{HP1}, \cite{Kdircoh}. The aim of this paper is to study the Dirac cohomology for the Kostant cubic Dirac operator and its relation to Lie algebra cohomology. We show that the Dirac cohomology coincides with the corresponding nilpotent Lie algebra cohomology in many cases, while in general it has better algebraic behavior and it is more accessible for calculation.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0503582
dc.identifierhttp://arxiv.org/abs/math/0503582
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74664
dc.subjectRepresentation Theory
dc.subject22E47
dc.titleDirac operators and Lie algebra cohomology
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