Galilean free Lie algebras
Journal article, 2019

We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and non-relativistic gravity theories. We show how various extensions of the ordinary Galilei algebra can be obtained by truncations and contractions, in some cases via an affine Kac-Moody algebra. The infinite-dimensional Lie algebras could be useful in the construction of generalized Newton-Cartan theories gravity theories and the objects that couple to them.

Space-Time Symmetries


Classical Theories of Gravity


Joaquim Gomis

University of Barcelona

Axel Kleinschmidt

Max Planck Society

International Solvay Institute for Physics and Chemistry

Jakob Palmkvist

Chalmers, Physics, Theoretical Physics

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2019 9 109

Subject Categories

Algebra and Logic


Mathematical Analysis



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