Authors: Jing-Song Huang, Pavle Pandžić, David Vogan
Science China Mathematics, , Volume 60, Issue 11, pp 1937–1962.
Abstract: Let be a connected real reductive group with maximal compact subgroup of the same rank as . Dirac cohomology of an module can be identified with a geometric object—the -dominant part of a face of the convex hull of the Weyl group orbit of the parameter . We show how Dirac cohomology can be used as a parameter to classify the modules.