Dirac cohomology, elliptic representations and endoscopy
Representation Theory
2015-11-25 v1
Abstract
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.
Cite
@article{arxiv.1511.07618,
title = {Dirac cohomology, elliptic representations and endoscopy},
author = {Jing-Song Huang},
journal= {arXiv preprint arXiv:1511.07618},
year = {2015}
}
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