Bruhat order in the full symmetric \(\mathfrak{sl}_n\) Toda lattice on partial flag space

DOI10.3842/SIGMA.2016.084zbMath1391.37045arXiv1412.8116OpenAlexW194339510MaRDI QIDQ308700

Georgy I. Sharygin, Yury B. Chernyakov, Alexander S. Sorin

Publication date: 6 September 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8116

zbMATH Keywords

integralsToda latticeBruhat ordersemi-invariantsMorse functionmultiset permutationpartial flag space

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (2)

Phase portraits of the full symmetric Toda systems on rank-2 groups ⋮ Bruhat order in the Toda system on \(\mathfrak{so}(2, 4)\): an example of non-split real form

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