Dirac cohomology and character lifting
Representation Theory
2020-12-17 v1
Abstract
The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules, or Dirac index of the trivial representation. The lifting of tempered characters in terms of index of Dirac cohomology is calculated explicitly.
Cite
@article{arxiv.2012.08783,
title = {Dirac cohomology and character lifting},
author = {Jing-Song Huang},
journal= {arXiv preprint arXiv:2012.08783},
year = {2020}
}
Comments
To appear in Acta Math Sinica. arXiv admin note: substantial text overlap with arXiv:1511.07618