Cubic Dirac cohomology for generalized Enright-Varadarajan modules

Mehdi, Salah ; Parthasarathy, Rajagopalan (2011) Cubic Dirac cohomology for generalized Enright-Varadarajan modules Journal of Lie Theory, 21 . pp. 861-884. ISSN 0949-5932

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For a complex semisimple Lie algebra g = h ⊕ v where h is a quadratic subalgebra and h and v are orthogonal with respect to the Killing form, we construct a large family of (g, h)-modules with non-zero cubic Dirac co-homology. Our method uses analogue of the construction of generalized Enright- Varadarajan modules for what we call (h, v) -split parabolic subalgebras. This family of modules includes discrete series representations and Aq(λ)-modules.

Item Type:Article
Source:Copyright of this article belongs to Heldermann Verlag.
Keywords:Quadratic Subalgebra; Generalized Enright-varadrajan Module; (g, h)-module; Verma Modules; Kostant's Cubic Dirac Operator; Dirac Cohomology
ID Code:82623
Deposited On:13 Feb 2012 08:06
Last Modified:13 Feb 2012 08:08

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