Galilean Isometries

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.
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Christian Duval. Galilean Isometries. Classical and Quantum Gravity, IOP Publishing, 1993, 10, pp.2217-2222. ⟨10.1088/0264-9381/10/11/006⟩. ⟨hal-00366827⟩

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