engleski

On classifying unitary modules by their Dirac cohomology

Let G be a connected real reductive group with maximal compact subgroup K of the same rank as G. Dirac cohomology of an Aq(lambda) module can be identified with a geometric object - the k- dominant part of a face of the convex hull of the Weyl group orbit of the parameter lambda+rho. We show how Dirac cohomology can be used as a parameter to classify the Aq(lambda) modules.

(g, K)-module, Aq(lambda) module, Dirac cohomology

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