Geodesic
Generic 1-Connectivity of Flag Domains in Hermitian Symmetric Spaces
Journal of Lie theory, Tome 32 (2022) no. 2, pp. 553-561
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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.
Classification : 14M15, 32M05, 57S20
Mots-clés : Flag domain, Hermitian symmetric space, Weyl group 
@article{JLT_2022_32_2_JLT_2022_32_2_a10,
     author = {T. Hayama},
     title = {Generic {1-Connectivity} of {Flag} {Domains} in {Hermitian} {Symmetric} {Spaces}},
     journal = {Journal of Lie theory},
     pages = {553--561},
     year = {2022},
     volume = {32},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2022_32_2_JLT_2022_32_2_a10/}
}
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T. Hayama. Generic 1-Connectivity of Flag Domains in Hermitian Symmetric Spaces. Journal of Lie theory, Tome 32 (2022) no. 2, pp. 553-561. http://geodesic.mathdoc.fr/item/JLT_2022_32_2_JLT_2022_32_2_a10/