Toda equations associated with loop groups of complex classical Lie groups
نویسنده
چکیده
A Toda equation is specified by a choice of a Lie group and a 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-gradations with finite dimensional grading subspaces, are described in an explicit form.
منابع مشابه
ar X iv : 0 70 5 . 26 81 v 1 [ m at h - ph ] 1 8 M ay 2 00 7 On Z - graded loop Lie algebras , loop groups , and Toda equations
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.
متن کامل2 W - algebras for non - abelian Toda systems
We construct the classical W -algebras for some non-abelian Toda systems associated with the Lie groups GL 2n(R) and Spn(R). We start with the set of characteristic integrals and find the Poisson brackets for the corresponding Hamiltonian counterparts. The convenient block matrix representaion for the Toda equations is used. The infinitesimal symmetry transformations generated by the elements o...
متن کاملW -algebras for non-abelian Toda systems
We construct the classical W -algebras for some non-abelian Toda systems associated with the Lie groups GL 2n(R) and Spn(R). We start with the set of characteristic integrals and find the Poisson brackets for the corresponding Hamiltonian counterparts. The convenient block matrix representation for the Toda equations is used. The infinitesimal symmetry transformations generated by the elements ...
متن کاملov 2 00 2 W - algebras for non - abelian Toda systems
We construct the classical W -algebras for some non-abelian Toda systems associated with the Lie groups GL 2n(R) and Spn(R). We start with the set of characteristic integrals and find the Poisson brackets for the corresponding Hamiltonian counterparts. The convenient block matrix representaion for the Toda equations is used. The infinitesimal symmetry transformations generated by the elements o...
متن کاملSolving Non-abelian Loop Toda Equations
We construct soliton solutions for non-abelian loop Toda equations associated with general linear groups. Here we consider the untwisted case only and use the rational dressing method based upon appropriate block-matrix representation suggested by the initial Z-gradation.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006