Toda equations associated with loop groups of complex classical Lie groups

Details Toda equations associated with loop groups of complex classical Lie groups Toda equations associated with loop groups of complex classical Lie groups

2006-12-17

arxiv.org/abs/math-ph/0612054v2

Nucl.Phys.B782:241-275,2007

Physics

Mathematical Physics

39 pages

Scientific paper

10.1016/j.nuclphysb.2007.05.002

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

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