Partial Dirac Cohomology and Tempered Representations
Representation Theory
2022-02-15 v2 Group Theory
Symplectic Geometry
Abstract
The tempered representations of a real reductive Lie group are naturally partitioned into series associated with conjugacy classes of Cartan subgroups of . We define partial Dirac cohomology, apply it for geometric construction of various models of these --series representations, and show how this construction fits into the framework of geometric quantization and symplectic reduction.
Cite
@article{arxiv.2003.05543,
title = {Partial Dirac Cohomology and Tempered Representations},
author = {Meng-Kiat Chuah and Jing-Song Huang and Joseph A. Wolf},
journal= {arXiv preprint arXiv:2003.05543},
year = {2022}
}
Comments
In this version the Abstract and Introduction were modified for clarity, and one author address was updated. Specifically, the Introduction was split into two parts, labeled Introduction and Statement of Results