Norm computation and analytic continuation of vector valued holomorphic discrete series representations
Representation Theory
2015-06-22 v1
Abstract
In this paper we compute explicitly the norm of the vector-valued holomorphic discrete series representations, when its -type is "almost multiplicity-free." As an application, we discuss the properties of highest weight modules, such as unitarizability, reducibility and composition series.
Cite
@article{arxiv.1506.05919,
title = {Norm computation and analytic continuation of vector valued holomorphic discrete series representations},
author = {Ryosuke Nakahama},
journal= {arXiv preprint arXiv:1506.05919},
year = {2015}
}
Comments
59 pages