Polynomial algebra associated to the Cartan subalgebra of G2 in its enveloping algebra
Year: 2024
Type: conference-paper
Abstract: The commutant of the Cartan subalgebra of G 2 in its enveloping algebra is determined, showing that it gives rise to a 66-dimensional polynomial algebra of sixth order. It is shown that the commutant of the regular subalgebra A 2 can be obtained by restriction. An illustration how to use these results for Hamiltonian systems with G 2 as spectrum generating algebra is given.
Author: Rutwig Campoamor-Stursberg
Institution: Universidad Complutense de Madrid
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404398220