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arXiv · 2110.00694

Dirac series for complex $E_7$

Chao-Ping Dong·Kayue Daniel Wong
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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 Pandzic [BP], our classification should be helpful for understanding the unitary dual of complex $E_7$.

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BibTeXRIS

Chao-Ping Dong, Kayue Daniel Wong. 2021-10-02. Dirac series for complex $E_7$. https://doi.org/10.1515/forum-2021-0274

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