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

Published 1 Feb 2024 in math.RT | (2402.00286v1)

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.

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