Galilean free Lie algebras
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Publication:2332251
DOI10.1007/JHEP09(2019)109zbMATH Open1423.83056arXiv1907.00410OpenAlexW3100732581WikidataQ127234365 ScholiaQ127234365MaRDI QIDQ2332251
Author name not available (Why is that?)
Publication date: 1 November 2019
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1907.00410
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