Reduction of the representations of the generalised Poincare algebra by the Galilei algebra

DOI10.1088/0305-4470/13/7/015zbMath0433.22015OpenAlexW2007771320MaRDI QIDQ3871107

W. I. Fushchich, Anatolia G. Nikitin

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1088/0305-4470/13/7/015

zbMATH Keywords

irreducible representationsCasimir operatorGalilei groupgeneralized Poincare group

Mathematics Subject Classification ID

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) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (6)

On symmetry reduction and some classes of invariant solutions of the (1+3)-dimensional homogeneous Monge-Ampère equation ⋮ On the general solution of the d’Alembert equation with a nonlinear eikonal constraint and its applications ⋮ On subalgebras of the Lie algebra of the extended Poincaré group P̃(1,n) ⋮ Invariant operators of five-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group \(\mathrm{P}(1,4)\) ⋮ Canonical quantization of Galilean covariant field theories ⋮ Reduction of the \((1 + 3)\)-dimensional inhomogeneous Monge-Ampère equation to first-order partial differential equations

This page was built for publication: Reduction of the representations of the generalised Poincare algebra by the Galilei algebra