RT Journal Article
T1 One some algebraic formulations within enveloping algebras related to superintegrability
A1 Campoamor-Stursberg, Otto Ruttwig
AB 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 possible; a first one strongly dependent on representation theory, as well as a second formal approach that focuses on the explicit construction within commutants of algebraic integrals for appropriate algebraic Hamiltonians defined in terms of suitable subalgebras. The potential use in this context of the notion of virtual copies of Lie algebras is briefly commented.
PB Czech Technical University in Prague
SN 1805–2363
YR 2022
FD 2022-02-02
LK https://hdl.handle.net/20.500.14352/72123
UL https://hdl.handle.net/20.500.14352/72123
LA eng
DS Docta Complutense
RD 3 may 2024