arXiv subjects

Andrey N. Leznov

Publications and source records attributed to Andrey N. Leznov.

2 recordsLinked to original sources

arXiv2001

UV manifold and integrable systems in spaces of arbitrary dimension

The $2n$ dimensional manifold with two mutually commutative operators of differentiation is introduced. Nontrivial multidimensional integrable systems connected with arbitrary graded (semisimple) algebras are constructed. The general solution of them is presented in explicit form.

nlin.SI↗

arXiv1999

Exactly integrable systems connected to semisimple algebras of second rank A_2, B_2, C_2, G_2

Exactly integrable systems connected to semisimple algebras of second rank with an arbitrary choice of grading are presented in explicit form. General solutions of these systems are expressed in terms of matrix elements of two fundamental representations of the corresponding semisimple groups.

math-ph↗