7 papers
Geometric construction of superintegrable Poisson projection chains via Poisson centralizers
Kai Jiang, Guorui Ma, Ian Marquette +2
We introduce a geometric framework for constructing superintegrable systems from Poisson centralizers (commutants) in the Lie-Poisson algebra of a complex semisim…
Poisson Centralisers and Polynomial Superintegrability for Magnetic Geodesic Flows on Reductive Homogeneous Spaces
Kai Jiang, Guorui Ma, Ian Marquette +2
We provide a method for formulating superintegrable magnetic geodesic flows on reductive homogeneous spaces , with a compact semisimple Lie group and a closed subgro…
Polynomial Poisson Algebras and Superintegrable Systems from Cartan centralisers of Types , and
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +2
In this work, we construct explicit formulas for the generators of the Cartan centralisers of complex semisimple Lie algebras and , the case being already know…
Subalgebra chains and nuclear physics: Commutant approach and construction of polynomial algebras
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +2
In this paper, we review a new approach to study subalgebra chains in the context of nuclear physics. This approach does not rely on explicit r…
Algebraic structures and Hamiltonians from the equivalence classes of 2D conformal algebras
Ian Marquette, Junze Zhang, Yao-Zhong Zhang
The construction of superintegrable systems based on Lie algebras and their universal enveloping algebras has been widely studied over the past decades. However, most constructions…
Polynomial algebra from the Lie algebra reduction chain : The supermultiplet model
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +2
The supermultiplet model, based on the reduction chain , is revisited through the lens of commutants within unive…