Galilean Isometries
arXiv:0903.1641 · doi:10.1088/0264-9381/10/11/006
Abstract
We introduce three nested Lie algebras of infinitesimal `isometries' of a Galilei space-time structure which play the rôle of the algebra of Killing vector fields of a relativistic Lorentz space-time. Non trivial extensions of these Lie algebras arise naturally from the consideration of Newton-Cartan-Bargmann automorphisms.
Plain TeX, 8 pages
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