This article is cited in 9 papers

Classification of Lie algebras with generic orbits of dimension 2 in the coadjoint representation

A. Yu. Konyaev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We provide a complete list of real Lie algebras with generic orbits of dimension 2 in the coadjoint representation.
Bibliography: 20 titles.

Keywords: Poisson bracket, Lie algebra, coadjoint representation, integrable systems.

UDC: 514.747.2

MSC: Primary 17B08; Secondary 17B80, 53D17

Received: 10.12.2012 and 15.10.2013

DOI: 10.4213/sm8197

 English version: Sbornik: Mathematics, 2014, 205:1, 45–62

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