摘要
Let G be a connected real reductive group with maximal compact subgroup K of the same rank as G. Dirac cohomology of an A_q(λ) 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 λ + ρ. We show how Dirac cohomology can be used as a parameter to classify the A_q(λ) modules.
Let G be a connected real reductive group with maximal compact subgroup K of the same rank as G. Dirac cohomology of an A_q（λ） 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 λ ＋ ρ. We show how Dirac cohomology can be used as a parameter to classify the A_q（λ） modules.
基金
supported by Research Grant Council of Hong Kong Special Administrative Region (Grant No. 16302114)
the Croatian Science Foundation (Grant No. 4176)
the Center of Excellence Quanti XLie
National Science Foundation of USA (Grant No. DMS 0967272)
