Unitary representations with non-zero Dirac cohomology for complex \(E_{6}\)

DOI10.1515/forum-2018-0132zbMath1429.22014arXiv1707.01380OpenAlexW2767573509MaRDI QIDQ670960

Chao-Ping Dong

Publication date: 20 March 2019

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01380

zbMATH Keywords

unitary representationDirac cohomologyspin norm

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (6)

Dirac series for complex classical Lie groups: a multiplicity-one theorem ⋮ Dirac series for complex \(E_7\) ⋮ Dirac series for some real exceptional Lie groups ⋮ Scattered representations of \(\mathrm{SL}(n, \mathbb{C})\) ⋮ Dirac series for \(E_{6(-14)}\) ⋮ Unitary representations with Dirac cohomology: a finiteness result for complex Lie groups

Cites Work

• Criteria for the unitarizability of some highest weight modules
• On the classification of unitary representations of reductive Lie groups
• On the Dirac cohomology of complex Lie group representations
• Unitarizability of certain series of representations
• Dirac operator and the discrete series
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
• Spin norm, pencils, and the u-small convex hull
• Dirac cohomology and unipotent representations of complex groups
• Rings of regular functions on nilpotent orbits 11:model algebras and orbits
• Unitary representations of real reductive groups
• Lie groups beyond an introduction
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