Galilean Isometries

Christian Duval (1, 2)

1 CPT - E2 Géométrie, Physique et Symétries
2 CPT - Centre de Physique Théorique - UMR 7332

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.

Domaines: Physique mathématique [math-ph]; Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

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