Generic 1-connectivity of flag domains in Hermitian symmetric spaces
Complex Variables
2022-12-29 v1 Combinatorics
Abstract
A flag domain is an open real group orbit in a complex flag manifold. It has been shown that a flag domain is either pseudoconvex or pseudoconcave. Moreover, generically 1-connected flag domains are pseudoconcave. In this study, for flag domains contained in irreducible Hermitian symmetric spaces of type AIII or CI, we determine which pseudoconcave flag domain is generically 1-connected.
Cite
@article{arxiv.2201.05260,
title = {Generic 1-connectivity of flag domains in Hermitian symmetric spaces},
author = {Tatsuki Hayama},
journal= {arXiv preprint arXiv:2201.05260},
year = {2022}
}
Comments
8 pages, to appear in Journal of Lie Theory