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Dirac operators and Lie algebra cohomology. (English) Zbl 1134.22011

The paper under review studies the Dirac cohomology of unitary modules for the Kostant cubic Dirac operator and its relation to nilpotent Lie algebra cohomology, and shows that in some cases these two cohomologies coincide.

MSC:

22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
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