Dirac cohomology of unitary representations of equal rank exceptional groups

DOI10.1007/s11425-007-2081-1zbMath1128.22007OpenAlexW1656294280MaRDI QIDQ995688

Fu-hai Zhu, Ke Liang

Publication date: 10 September 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-2081-1

zbMATH Keywords

unitary representationDirac cohomologyexceptional groupK-type

Mathematics Subject Classification ID

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

Cites Work

• Representations of real reductive Lie groups
• Unitary representations of classical Lie groups of equal rank with nonzero Dirac cohomology.
• Unitarizability of certain series of representations
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan

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