Dirac series for complex $E_7$

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 $E_7$.

21 pages, accepted for publication in Forum Mathematicum

References in corpus (1)

• On the Helgason-Johnson bound