On some algebraic formulations within universal enveloping algebras related to superintegrability

On some algebraic formulations within universal enveloping algebras related to superintegrability

We report on some recent purely algebraic approaches to superintegrable systems from the perspective of subspaces of commuting polynomials in the enveloping algebras of Lie algebras that generate quadratic (and eventually higher-order) algebras. In this context, two algebraic formulations are possib...

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Bibliographic Details
Main Author: Rutwig Campoamor-Stursberg
Format: Article
Language:English
Published: CTU Central Library 2022-02-01
Series:Acta Polytechnica
Subjects:
enveloping algebras
commutants
quadratic algebras
superintegrability
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/7596

Internet

https://ojs.cvut.cz/ojs/index.php/ap/article/view/7596

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