The Full Symmetric Toda Flow and Intersections of Bruhat Cells
In this short note, we show that the Bruhat cells in real normal forms of semisimple Lie algebras enjoy the same property as their complex analogs: for any two elements 𝓌, 𝓌′ in the Weyl group 𝑊(𝖌), the corresponding real Bruhat cell 𝑋𝓌 intersects with the dual Bruhat cell 𝑌𝓌′ iff 𝓌 ≺ 𝓌′ in the Bruh...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211005 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Full Symmetric Toda Flow and Intersections of Bruhat Cells. Yuri B. Chernyakov, Georgy I. Sharygin, Alexander S. Sorin and Dmitry V. Talalaev. SIGMA 16 (2020), 115, 8 pages |