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

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.

Cited by in corpus (4)

• Graded Lie algebras, representation theory, integrable mappings and systems: nonabelian case
• Nonabelian Toda equations associated with classical Lie groups
• W-algebras for non-abelian Toda systems
• UV manifold and integrable systems in spaces of arbitrary dimension