Unitary representations of classical Lie groups of equal rank with nonzero Dirac cohomology

Hou Zixin, Liang Ke and Zhu Fuhai

Vol. 214 (2004), No. 2, 285–302

DOI: 10.2140/pjm.2004.214.285

Abstract

In this paper, we consider unitary representations of classical groups of equal rank (rankG = rankK) except type CI with regular lambda-lowest K-type and get the necessary and sufficient condition such that those unitary representations considered have nonzero Dirac cohomology.

Milestones

Received: 12 February 2003

Published: 1 April 2004