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Jordan-Kronecker invariants of finite-dimensional Lie algebras

Published 2 Nov 2012 in math.RT | (1211.0579v1)

Abstract: For any finite-dimensional Lie algebra we introduce the notion of Jordan-Kronecker invariants, study their properties and discuss examples. These invariants naturally appear in the framework of the bi-Hamiltonian approach to integrable systems on Lie algebras and are closely related to Mischenko-Fomenko's argument shift method.

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