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arXiv · 2610.09743

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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Kurando Baba, Osamu Ikawa, Shinji Ohno. 2026-10-07. The intersection of two real flag manifolds in a complex flag manifold, and the canonical form of a compact symmetric triad. https://arxiv.org/abs/2610.09743

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