Matrix representation of the generators of symplectic algebras. II. The general case with explicit results for sp(6, R)

DOI10.1088/0305-4470/20/14/008zbMath0642.22004OpenAlexW2030101748MaRDI QIDQ3784333

No author found.

Publication date: 1987

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/20/14/008

zbMATH Keywords

generatorsenveloping algebramatrix representationirreducible representationseigenstatesenergy levelssymplectic Lie algebraspositive discrete seriesGelfand statesraising generators

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Nuclear physics (81V35) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Many-body theory; quantum Hall effect (81V70)

Related Items (3)

The nuclear collective WSp(6,R) model ⋮ Boson mapping of symplectic algebras with Abelian subalgebra mapped as coordinates ⋮ Collectivity and geometry. VI. Spectra and shapes in the three-dimensional case

This page was built for publication: Matrix representation of the generators of symplectic algebras. II. The general case with explicit results for sp(6, R)