Dirac cohomology of unipotent representations of Sp(2n,R) and U(p,q)

zbMath1387.22016arXiv1302.2503MaRDI QIDQ5251721

Dan Barbasch, Pavle Pandžić

Publication date: 20 May 2015

Full work available at URL: https://arxiv.org/abs/1302.2503

zbMATH Keywords

representationDirac operatorLie algebraLie groupDirac cohomologyspecial unipotent representation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (11)

Classifying $$A_\mathfrak {q}(\lambda )$$ A q ( λ ) Modules by Their Dirac Cohomology ⋮ Dirac index of some unitary representations of \(Sp(2n, \mathbb{R})\) and \(SO^{\ast} (2n)\) ⋮ Higher Dirac cohomology of modules with generalized infinitesimal character ⋮ Representations associated to small nilpotent orbits for complex Spin groups ⋮ Dirac series for some real exceptional Lie groups ⋮ Dirac cohomology for the BGG category \(\mathcal{O} \) ⋮ Twisted Dirac Index and Applications to Characters ⋮ Dirac index and twisted characters ⋮ Representations associated to small nilpotent orbits for real Spin groups ⋮ On the Dirac series of \(U(p, q)\) ⋮ Unitary representations with Dirac cohomology: a finiteness result for complex Lie groups

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