id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-7596	Campoamor-Stursberg, Rutwig	On some algebraic formulations within universal enveloping algebras related to superintegrability	2022	7	.pdf	application/pdf	5343	283	51	In this work we comment on some purely alge- braic approaches formulated in the enveloping algebras of Lie algebras for the identification or construction of quadratic algebras that may lead to super-integrable systems, once a suitable realization of the enveloping algebra by first-order differential operators has been chosen. 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.	cache/ap-7596.pdf	txt/ap-7596.txt