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

TL;DR

This paper classifies certain irreducible unitary representations with non-zero Dirac cohomology for complex E6, advancing the understanding of their structure through improved computational methods.

Contribution

It provides a complete classification of these representations for complex E6, utilizing a new finiteness result and enhanced computational techniques.

Findings

Classification of irreducible unitary representations with non-zero Dirac cohomology for complex E6

Introduction of improved computational methods for representation analysis

Establishment of a finiteness result aiding classification

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.