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Unitary representations with non-zero Dirac cohomology for complex E6

  • Chao-Ping Dong EMAIL logo
Published/Copyright: September 10, 2018

Abstract

This paper classifies the equivalence classes of irreducible unitary representations with non-vanishing Dirac cohomology for complex E6. This is achieved by using our finiteness result, and by improving the computing method. According to a conjecture of Barbasch and Pandžić, our classification should also be helpful for understanding the entire unitary dual of complex E6.

MSC 2010: 22E46

Communicated by Karl-Hermann Neeb


Award Identifier / Grant number: 11571097

Funding statement: Dong is supported by NSFC grant 11571097, the Fundamental Research Funds for the Central Universities, and the China Scholarship Council.

Acknowledgements

I am deeply grateful to the atlas mathematicians for many things. I thank an anonymous referee for his/her eagle eyes and valuable suggestions.

References

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Received: 2018-05-30
Revised: 2018-07-03
Published Online: 2018-09-10
Published in Print: 2019-01-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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