Representations of the complete inhomogeneous de Sitter group and equations in the five-dimensional approach. I

DOI10.1007/BF01038303zbMath0201.58402OpenAlexW1971334292MaRDI QIDQ5600822

W. I. Fushchich

Publication date: 1970

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/tmf/v4/i3/p360

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (8)

Splitting subalgebras of the Lie algebra of the generalized Poincaré group P(1,4) ⋮ Symmetry reduction and some exact solutions of a nonlinear five-dimensional wave equation ⋮ Nonsplit subalgebras of the Lie algebra of the generalized Poincaré group P(1,4) ⋮ Invariant operators of five-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group \(\mathrm{P}(1,4)\) ⋮ Reduction of unitary Lie algebraic representations of an inhomogeneous de Sitter group ⋮ Invariance groups of certain equations of relativistic quantum mechanics ⋮ On the tensor product of irreducible unitary representations of an inhomogeneous de Sitter group ⋮ Subalgebras of the Poincaré algebra AP(2,3) and the symmetric reduction of the nonlinear ultrahyperbolic d'Alembert equation. I

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