On the semi-centre of a Poisson algebra

DOI10.1007/s10468-019-09879-3zbMath1460.17030arXiv1707.09006OpenAlexW2962936188MaRDI QIDQ2188397

Cesar Lecoutre, Lewis W. Topley

Publication date: 11 June 2020

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09006

zbMATH Keywords

Poisson algebraPoisson Dixmier-Moeglin equivalencesemi-invariant theory

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Poisson algebras (17B63) Lie algebras of linear algebraic groups (17B45)

Cites Work

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• The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem
• Polynomiality of invariants, unimodularity and adapted pairs
• On semi-invariants and index for biparabolic (seaweed) algebras. I
• Algebraic geometry of Poisson brackets
• On semi-invariants and index for biparabolic (seaweed) algebras. II.
• Poisson deleting derivations algorithm and Poisson spectrum
• The Dixmier-Moeglin equivalence and a Gel’fand-Kirillov problem for Poisson polynomial algebras
• Sur le semi-centre du corps enveloppant d'une algèbre de Lie
• Symplectic ideals of poisson algebras and the poisson structure associated to quantum matrices
• Poisson orders, symplectic reflection algebras and representation theory
• A NEW FAMILY OF POISSON ALGEBRAS AND THEIR DEFORMATIONS