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Toda equations associated with loop groups of complex classical Lie groups

Mathematical Physics 2008-11-26 v2 High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems

Abstract

A Toda equation is specified by a choice of a Lie group and a Z\mathbb Z-gradation of its Lie algebra. The Toda equations associated with loop groups of complex classical Lie groups, whose Lie algebras are endowed with integrable Z\mathbb Z-gradations with finite dimensional grading subspaces, are described in an explicit form.

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Cite

@article{arxiv.math-ph/0612054,
  title  = {Toda equations associated with loop groups of complex classical Lie groups},
  author = {Kh. S. Nirov and A. V. Razumov},
  journal= {arXiv preprint arXiv:math-ph/0612054},
  year   = {2008}
}

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39 pages