ℤ-graded loop Lie algebras, loop groups, and Toda equations

2007/05/18 by Kh. S. Nirov, A. V. Razumov
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1007/s11232-008-0034-7

published as Theor.Math.Phys.154:385-404,2008 · 24 pages, talk given at the Workshop "Classical and Quantum Integrable Systems" (Dubna, January, 2007)

arxiv created 2007/05/18 · openalex publication_date 2008/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

Toda equations associated with twisted loop groups are considered. Such equations are specified by Z-gradations of the corresponding twisted loop Lie algebras. The classification of Toda equations related to twisted loop Lie algebras with integrable Z-gradations is discussed.

Citations

• On Some Class of Multidimensional Nonlinear Integrable Systems
• Nonabelian Toda equations associated with classical Lie groups