Poisson bracket realizations of Lie algebras and subrepresentations of (ad⊗k)s

DOI10.1063/1.526056zbMath0553.17002OpenAlexW2021517899MaRDI QIDQ3346465

Mircea Iosifescu, H. Scutaru

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526056

zbMATH Keywords

Poisson brackethelium atomcoadjoint orbitspolynomial identitiessymplectic manifoldsemisimple Lie algebraso(4,2)quantum constraintsPoisson bracket realizationsix-dimensional PB realization of sp(4,R)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) 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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lie algebras of Lie groups (22E60) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

Faithful realizations of semiclassical truncations ⋮ Second-degree kinematical constraints associated with dynamical symmetries ⋮ Dynamical and symmetry groups of the \(SU (2)\) Kepler problem

Cites Work

• Minimal realizations and spectrum generating algebras
• On six-dimensional canonical realizations of the so(4,2) algebra
• Some simple R5 Wigner coefficients and their application
• The de Sitter groupL 4,1 and the bound states of hydrogen atom
• Realizations of Lie Algebras in Classical Mechanics

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