JORDAN–KRONECKER INVARIANTS OF FINITE-DIMENSIONAL LIE ALGEBRAS

被引：0
|
作者：
A. V. BOLSINOV
P. ZHANG
机构：
[1] Loughborough University,Department of Mathematical Sciences
[2] Moscow State University,Faculty of Mechanics and Mathematics
[3] Business School China University of Political Science and Law,undefined
来源：
Transformation Groups | 2016年 / 21卷
关键词：
Characteristic Number; Jordan Block; Coadjoint Orbit; Coadjoint Representation; Jordan Type;
D O I：
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中图分类号：
学科分类号：
摘要：
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. We also state a generalised argument shift conjecture and prove it for many series of Lie algebras.
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页码：51 / 86
页数：35
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