Geodesic
Generic 1-Connectivity of Flag Domains in Hermitian Symmetric Spaces
Tatsuki Hayama1
1School of Business Administration, Senshu University, Kawasaki, Kanagawa, Japan
Journal of Lie Theory, Tome 32 (2022) no. 2, pp. 553-561

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Tatsuki Hayama  1

1 School of Business Administration, Senshu University, Kawasaki, Kanagawa, Japan 
Tatsuki 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/JOLT_2022_32_2_a10/
@article{JOLT_2022_32_2_a10,
     author = {Tatsuki 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/JOLT_2022_32_2_a10/}
}
TY  - JOUR
AU  - Tatsuki Hayama
TI  - Generic 1-Connectivity of Flag Domains in Hermitian Symmetric Spaces
JO  - Journal of Lie Theory
PY  - 2022
SP  - 553
EP  - 561
VL  - 32
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JOLT_2022_32_2_a10/
ID  - JOLT_2022_32_2_a10
ER  - 
%0 Journal Article
%A Tatsuki Hayama
%T Generic 1-Connectivity of Flag Domains in Hermitian Symmetric Spaces
%J Journal of Lie Theory
%D 2022
%P 553-561
%V 32
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2022_32_2_a10/
%F JOLT_2022_32_2_a10