Construction of discrete series representations of $SO_{e}(4, 1)$ via algebraic Dirac induction
Representation Theory
2020-06-04 v4
Abstract
The notion of algebraic Dirac induction was introduced by P. Pand\v{z}i\'{c} and D. Renard. This is a construction which gives representations with prescribed Dirac cohomology. They proved that all holomorphic discrete series representations can be constructed via Dirac induction. All discrete series representations of the group are nonholomorphic. In this paper we prove that they can also be constructed using algebraic Dirac induction.
Keywords
Cite
@article{arxiv.1811.01610,
title = {Construction of discrete series representations of $SO_{e}(4, 1)$ via algebraic Dirac induction},
author = {Ana Prlić},
journal= {arXiv preprint arXiv:1811.01610},
year = {2020}
}
Comments
20 pages, 3 figures, v4: revised version (e.g. minor typos fixed, figures added), to appear in Communications in Algebra