Dirac series of $E_{8(-24)}$

Abstract

This paper classifies the Dirac series of $E_{8(-24)}$, the linear quaternionic real form of complex $E_8$. One tool for us is a further sharpening of the Helgason-Johnson bound in 1969. Our calculation continues to support Vogan's fundamental parallelepiped conjecture.

arXiv comment32 pages

References in corpus (4)

• Dirac series for some real exceptional Lie groups
• Unitary representations with Dirac cohomology: finiteness in the real case
• Dirac series for $E_{6(-14)}$
• A non-vanishing criterion for Dirac cohomology