The Poisson center and polynomial, maximal Poisson commutative subalgebras, especially for nilpotent Lie algebras of dimension at most seven-Reference-Cited by-同舟云学术

The Poisson center and polynomial, maximal Poisson commutative subalgebras, especially for nilpotent Lie algebras of dimension at most seven

Published:2012-09 Issue: Volume:365 Page:83-113
ISSN:0021-8693
Container-title:Journal of Algebra
language:en
Short-container-title:Journal of Algebra

Author:

Ooms Alfons I.

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference66 articles.

1. Orbits of greatest dimension in semi-simple linear Lie groups;Andreev;Funct. Anal. Appl.,1968

2. Commutative families of functions related to consistent Poisson brackets;Bolsinov;Acta Appl. Math.,1991

3. R. Carles, Weight systems for complex nilpotent Lie algebras and application to the varieties of Lie algebras, Prépublication 96, Département de Mathématiques, Université de Poitiers, 1996.

4. A. Cerezo, On the rational invariants of a Lie algebra, Prépublication 68, Département de Mathématiques, Université de Nice, 1985, 54 pp., http://math.unice.fr/~frou/ACpublications.html.

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The center and invariants of standard filiform Lie algebras;Journal of Algebra;2023-08

2. The center of the universal enveloping algebras of small-dimensional nilpotent Lie algebras in prime characteristic;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2022-06-20

3. JORDAN–KRONECKER INVARIANTS OF LIE ALGEBRA REPRESENTATIONS AND DEGREES OF INVARIANT POLYNOMIALS;Transformation Groups;2021-06-17

4. On Dixmier’s Fourth Problem;Algebras and Representation Theory;2021-03-08

5. On extension of classical Baer results to Poisson algebras;Algebra and Discrete Mathematics;2021