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Exactly integrable systems connected to semisimple algebras of second rank A2, B2, C2, G2

Andrey N. Leznov

math-pharXiv:math-ph/9904041

Abstract

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.

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