Unitary Representations with non-zero Dirac cohomology for complex $E_6$

Abstract

This paper classifies the equivalence classes of irreducible unitary representations with nonvanishing Dirac cohomology for complex $E_6$. This is achieved by using our finiteness result, and by improving the computing method.

16 pages, double-checked by Jian Ding, one originally missed scattered representation of E6 has been added

References in corpus (2)

• Unitary representations with Dirac cohomology: finiteness in the real case
• Unitary Representations with Dirac cohomology: a finiteness result for complex Lie groups

Cited by in corpus (6)

• Dirac series for some real exceptional Lie groups
• Unitary representations with Dirac cohomology: finiteness in the real case
• Unitary Representations with Dirac cohomology: a finiteness result for complex Lie groups
• Scattered representations of $SL(n,\mathbb{C})$
• Dirac series for $E_{6(-14)}$
• Dirac series for complex $E_7$