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

math.RT

/ Authors

Yi-Hao Ding, Chao-Ping Dong, Chengyu Du, Yong-Zhi Luan, Liang Yang

/ 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.

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

math.RT

/ Authors

Yi-Hao Ding, Chao-Ping Dong, Chengyu Du, Yong-Zhi Luan, Liang Yang

/ 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.