English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let g be a finite dimensional Lie algebra over an algebraically closed fieldk of characteristic zero. We collect some general results on the Poisson centerof S(g), including some simple criteria regarding its polynomiality, and alsoon certain Poisson commutative subalgebras of S(g). These facts are then usedto finish our earlier work on this subject, i.e. to give an explicitdescription for the Poisson center of all indecomposable, nilpotent Liealgebras of dimension at most seven. Among other things, we also provide apolynomial, maximal Poisson commutative subalgebra of S(g), enjoying additionalproperties. As a by-product we show that a conjecture by Milovanov is valid inthis situation. These results easily carry over to the enveloping algebra U(g).

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