Singular structure of Toda lattices and cohomology of certain compact Lie groups

DOI10.1016/j.cam.2006.01.037zbMath1172.37025arXivmath/0602229OpenAlexW2063524835WikidataQ115359875 ScholiaQ115359875MaRDI QIDQ875351

Luis G. Casian, Yuji Kodama

Publication date: 13 April 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602229

zbMATH Keywords

Toda latticeSchur polynomialsreal flag manifoldfinite Chevalley groupscohomology of compact groupPainlevé divisor

Mathematics Subject Classification ID

Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Simple, semisimple, reductive (super)algebras (17B20) Basic hypergeometric functions associated with root systems (33D67) Lattice dynamics; integrable lattice equations (37K60)

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Cites Work

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• Eigenvectors of Jacobi matrices
• Topology of the real part of the hyperelliptic Jacobian associated with the periodic Toda lattice
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• Introduction to Lie Algebras and Representation Theory