Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties
Symplectic Geometry
2019-02-26 v1 Representation Theory
Abstract
The purpose of this paper is to bring together various loose ends in the theory of integrable systems. For a semisimple Lie algebra , we obtain several results on completeness of homogeneous Poisson-commutative subalgebras of on coadjoint orbits. This concerns, in particular, Mishchenko-Fomenko and Gelfand-Tsetlin subalgebras.
Keywords
Cite
@article{arxiv.1902.09221,
title = {Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties},
author = {Dmitri I. Panyushev and Oksana S. Yakimova},
journal= {arXiv preprint arXiv:1902.09221},
year = {2019}
}