Higher Dirac cohomology of modules with generalized infinitesimal character

Abstract

We modify the definition of Dirac cohomology in such a way that the standard properties of the usual Dirac cohomology, valid for modules with infinitesimal character, become valid also for modules with only generalized infinitesimal character.

References in corpus (1)

• Dirac cohomology of unipotent representations of Sp(2n,R) and U(p,q)

Cited by in corpus (2)

• Dirac Index and Twisted Characters
• Branching problems and $\mathfrak{s}\mathfrak{l}(2,\mathbb{C})$-actions