Nonabelian Toda equations associated with classical Lie groups

1999/09/07 by A. V. Razumov, Razumov, A. V., M. V. Saveliev +4 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.math-ph/9909008

LaTeX2e, 15 pages, to be published in the Memorial volume dedicated to M. V. Saveliev, Dubna, 1999

arxiv created 1999/09/07 · openalex publication_date 1999/09/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The grading operators for all nonequivalent Z-gradations of classical Lie algebras are represented in the explicit block matrix form. The explicit form of the corresponding nonabelian Toda equations is given.

Cited by

• Higher Symmetries of Toda Equations
• Trace maps on chiral Clifford algebras for the rank two fermionic vertex operator superalgebra
• ℤ-graded loop Lie algebras, loop groups, and Toda equations

Related

• Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
• Z₂ⁿ grading of the classical Lie algebras
• Constructing Graded Lie Algebras
• Diagonalization of the Toda flow on conjugacy classes of matrices with simple spectrum
• Higher Symmetries of Toda Equations