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arXiv · 1211.0579

Jordan-Kronecker invariants of finite-dimensional Lie algebras

Alexey Bolsinov·Pumei Zhang
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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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BibTeXRIS

Alexey Bolsinov, Pumei Zhang. 2012-11-02. Jordan-Kronecker invariants of finite-dimensional Lie algebras. https://arxiv.org/abs/1211.0579

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