Jordan-Kronecker invariants of finite-dimensional Lie algebras

2012/11/02 by Alexey V. Bolsinov, Alexey Bolsinov, Bolsinov, Alexey +2 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #17B80 #37K10 #Algebraic structures and combinatorial models #FOS: Mathematics #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT #msc:17B80 #msc:37K10

paper · pdf · doi:10.48550/arxiv.1211.0579

arxiv created 2012/11/02 · openalex publication_date 2012/11/02 · arxiv updated 2012/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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