engleski

Classification of Aq(λ) modules by their Dirac cohomology for type D and sp(2n,R)

Let G be a connected real reductive group with maximal compact subgroup K of the same rank as G. In the recent paper of Huang, Pandžić and Vogan, it was shown that the admissible Θ–stable parabolic subalgebras q of g are in one-to-one correspondence with the faces of W ρ intersecting the k–dominant Weyl chamber and that Aq(0)– modules can be classified by their Dirac cohomology in geometric terms. We will describe faces corresponding to Aq(0) for g0 = sp(2n, R) and for g0 of type D.

(g, K)-module ; A q (λ) module ; Dirac cohomology

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