On subalgebras of the Lie algebra of the extended Poincaré group P̃(1,n)

DOI10.1063/1.527498zbMath0645.17003OpenAlexW1967618264WikidataQ115332116 ScholiaQ115332116MaRDI QIDQ3788166

W. I. Fushchich, Leonid F. Barannyk

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527498

zbMATH Keywords

Minkowski spacesubalgebrasextended Poincaré groupextended Galilei groupconjugation classes

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) 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) Lie algebras of Lie groups (22E60)

Related Items

Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. I ⋮ Continuous subgroups of the generalized Schrödinger groups ⋮ On the classification of subalgebras of the conformal algebra with respect to inner automorphisms ⋮ Subalgebras of the Poincaré algebra AP(2,3) and the symmetric reduction of the nonlinear ultrahyperbolic d'Alembert equation. I

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