Jing-Song Huang
Published 2015-11-24Version 1
The first part (Sections 1-6) of this paper is a survey of some of the recent developments in the theory of Dirac cohomology, especially the relationship of Dirac cohomology with (g,K)-cohomology and nilpotent Lie algebra cohomology; the second part (Sections 7-12) is devoted to understanding the unitary elliptic representations and endoscopic transfer by using the techniques in Dirac cohomology. A few problems and conjectures are proposed for further investigations.
Comments: This paper will appear in `Representations of Reductive Groups, in Honor of 60th Birthday of David Vogan', edited by M. Nervins and P. Trapa, published by Springer
Classification of $A_{q}(λ)$ modules by their Dirac cohomology for type $D$ and $\mathfrak{sp}(2n,\mathbb{R})$
Dirac cohomology of unipotent representations of Sp(2n,R) and U(p,q)
Barbasch-Sahi algebras and Dirac cohomology
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