Journal of Lie Theory 32 (2022), No. 2, 553--561
Copyright Heldermann Verlag 2022
Generic 1-Connectivity of Flag Domains in Hermitian Symmetric Spaces
Tatsuki Hayama
School of Business Administration, Senshu University, Kawasaki, Kanagawa, Japan
hayama@isc.senshu-u.ac.jp
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.
Keywords: Flag domain, Hermitian symmetric space, Weyl group.
MSC: 14M15, 32M05, 57S20.
[ Fulltext-pdf (121 KB)] for subscribers only.