Unitary representations of classical Lie groups of equal rank with nonzero Dirac cohomology. (Q1880131)

The authors study unitary representations of classical real semisimple Lie groups of equal rank with regular lambda-lowest-\(K\)-type. For all types except CI, they obtain necessary and sufficient conditions for the fact that these unitary representations have nonzero Dirac cohomology. The proof uses Vogan's method of constructing \(\theta\)-stable data and recent results of Huang and Pandžić on Vogan's conjecture.