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The intersection of two real flag manifolds in a complex flag manifold, and the canonical form of a compact symmetric triad

  • Kurando Baba
  • Osamu Ikawa
  • Shinji Ohno
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Abstract

The necessary and sufficient conditions for the intersection of two real flag manifolds in a complex flag manifold to be discrete are stated including a previous known result. The discrete intersection of real flag manifolds is the orbit of a Weyl group, which is an antipodal set of a complex flag manifold. The triple of two real flag manifolds and a complex flag manifold as an ambient space is constructed from a compact symmetric triad. It is shown that the compact symmetric triad can be taken to be canonical.

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Cite

BibTeXRIS
BibTeX
@misc{baba2026intersection,
  title = {{The intersection of two real flag manifolds in a complex flag manifold, and the canonical form of a compact symmetric triad}},
  author = {Kurando Baba and Osamu Ikawa and Shinji Ohno},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09743},
  eprint = {2610.09743},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.09743},
}
RIS
TY  - UNPB
TI  - The intersection of two real flag manifolds in a complex flag manifold, and the canonical form of a compact symmetric triad
AU  - Kurando Baba
AU  - Osamu Ikawa
AU  - Shinji Ohno
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.09743
UR  - https://arxiv.org/abs/2610.09743
AB  - The necessary and sufficient conditions for the intersection of two real flag manifolds in a complex flag manifold to be discrete are stated including a previous known result. The discrete intersection of real flag manifolds is the orbit of a Weyl group, which is an antipodal set of a complex flag manifold. The triple of two real flag manifolds and a complex flag manifold as an ambient space is constructed from a compact symmetric triad. It is shown that the compact symmetric triad can be taken to be canonical.
ER  -