English

The argument shift method and maximal commutative subalgebras of Poisson algebras

Representation Theory 2007-05-23 v1

Abstract

Let SS be the symmetric algebra of an algebraic Lie algebra. We provide a sufficient condition for the maximality of Poisson commutative subalgebras of SS obtained by the argument shift method.

Keywords

Cite

@article{arxiv.math/0702583,
  title  = {The argument shift method and maximal commutative subalgebras of Poisson algebras},
  author = {Dmitri I. Panyushev and Oksana S. Yakimova},
  journal= {arXiv preprint arXiv:math/0702583},
  year   = {2007}
}

Comments

13 pages