1. Dirac series for complex 퐸7.
- Author
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Dong, Chao-Ping and Wong, Kayue Daniel
- Subjects
- *
LIE groups , *LOGICAL prediction , *MATHEMATICS , *DIVINE providence , *GEOMETRY - Abstract
This paper classifies the Dirac series for complex E 7 . As applications, we verify a few conjectures raised in 2011, 2019 and 2020 for this exceptional Lie group. In particular, according to Conjecture 1.1 of Barbasch and Pandžić [Dirac cohomology and unipotent representations of complex groups, Noncommutative Geometry and Global Analysis, Contemp. Math. 546, American Mathematical Society, Providence (2011), 1–22], our classification should be helpful for understanding the unitary dual of complex E 7 . [ABSTRACT FROM AUTHOR]
- Published
- 2022
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