Dirac series for complex classical Lie groups: a multiplicity-one theorem
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Publication:2143664
DOI10.1016/j.aim.2022.108370OpenAlexW3212664210WikidataQ113880980 ScholiaQ113880980MaRDI QIDQ2143664
Kayue Daniel Wong, Dan Barbasch, Chao-Ping Dong
Publication date: 31 May 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.01584
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Cites Work
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- The unitary dual for complex classical Lie groups
- Unitary representations with non-zero Dirac cohomology for complex \(E_{6}\)
- Unitary representations with Dirac cohomology: a finiteness result for complex Lie groups
- Unipotent representations of complex semisimple groups
- The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field
- Relative Lie algebra cohomology and unitary representations of complex Lie groups
- Criteria for the unitarizability of some highest weight modules
- The unitary dual of \(Sp(n,1)\), \(n\geq 2\)
- Unipotent representations and the dual pair correspondence
- On the unitary dual of real reductive Lie groups and the \(A_g(\lambda)\) modules: The strongly regular case
- Dirac series for complex \(E_7\)
- The unitary spectrum for real rank one groups
- Erratum to: ``On the Dirac cohomology of complex Lie group representations
- Representation of complex semi-simple Lie groups and Lie algebras
- Dirac operator and the discrete series
- Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
- Dirac cohomology and unipotent representations of complex groups
- Characters of Reductive Groups over a Finite Field. (AM-107)
- The unitary spherical spectrum for split classical groups
- Unitary representations of real reductive groups
