Nonabelian Toda equations associated with classical Lie groups

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.

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

References in corpus (6)

• Nonabelian Integrable Systems, Quasideterminants, and Marchenko Lemma
• Multidimensional Toda type systems
• Higher Grading Generalisations of the Toda Systems
• Graded Lie algebras, representation theory, integrable mappings and systems: nonabelian case
• Two-dimensional Ultra-Toda integrable mappings and chains (Abelian case)
• Exactly integrable systems connected to semisimple algebras of second rank A_2, B_2, C_2, G_2

Cited by in corpus (4)

• On Z-gradations of twisted loop Lie algebras of complex simple Lie algebras
• On Z-graded loop Lie algebras, loop groups, and Toda equations
• W-algebras for non-abelian Toda systems
• Higher Symmetries of Toda Equations