Journal of Lie Theory

no. 2
Generic 1-Connectivity of Flag Domains in Hermitian Symmetric Spaces
Journal of Lie Theory, Volume 32 (2022) no. 2, pp. 553-561
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.
DOI: 10.5802/jolt.1242
Classification: 14M15, 32M05, 57S20
Keywords: Flag domain, Hermitian symmetric space, Weyl group 
@article{JOLT_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},
     doi = {10.5802/jolt.1242},
     zbl = {1482.22016},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1242/}
}
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T. Hayama. Generic 1-Connectivity of Flag Domains in Hermitian Symmetric Spaces. Journal of Lie Theory, Volume 32 (2022) no. 2, pp. 553-561. doi: 10.5802/jolt.1242

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