Maximal Abelian subgroups of the isometry and conformal groups of Euclidean and Minkowski spaces

DOI10.1088/0305-4470/31/7/016zbMath0908.22018arXivphysics/9707005OpenAlexW1988586204MaRDI QIDQ3839364

Z. Thomova, Pavel Winternitz

Publication date: 22 February 1999

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

Full work available at URL: https://arxiv.org/abs/physics/9707005

zbMATH Keywords

Hamilton-Jacobi equationwave equationsmaximal abelian subgroupsconformal groupsEuclidean groupspseudo-Euclidean groups

Mathematics Subject Classification ID

Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Lie algebras of Lie groups (22E60)

Related Items (6)

HUYGENS' PRINCIPLE AND SEPARATION OF VARIABLES ⋮ Pairs of commuting quadratic elements in the universal enveloping algebra of Euclidean algebra and integrals of motion* ⋮ Separation of variables and subgroup bases on n-dimensional hyperboloids ⋮ Cohomogeneity one de Sitter space \(S^n_1\) ⋮ Contractions of Lie algebras and separation of variables. The n-dimensional sphere ⋮ Maximal abelian subalgebras of \(e(p,q)\) algebras

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