A Casselman-Osborne theorem for rational Cherednik algebras
Representation Theory
2017-01-05 v2
Abstract
We define Lie algebra cohomology associated with the half-Dirac operators for representations of rational Cherednik algebras and show that it has property described in the Casselman-Osborne Theorem by establishing a version of the Vogan's conjecture for the half-Dirac operators. Moreover, we study the relationship between Lie algebra cohomology and Dirac cohomology in analogy of the representations for semisimple Lie algebras.
Keywords
Cite
@article{arxiv.1511.07965,
title = {A Casselman-Osborne theorem for rational Cherednik algebras},
author = {Jing-Song Huang and Kayue Daniel Wong},
journal= {arXiv preprint arXiv:1511.07965},
year = {2017}
}
Comments
To appear in Transformation Groups