128 citations · 2.8k across the 116 of their papers we have counts for
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On second Noether's theorem and gauge symmetries in Mechanics
Jose F Carinena, Joan-Andreu Lazaro-Cami, Eduardo Martinez
We review the geometric formulation of the second Noether's theorem in time-dependent mechanics. The commutation relations between the dynamics on the final constraint manifold and…
Courant algebroid and Lie bialgebroid contractions
Jose F. Carinena, Janusz Grabowski, Giuseppe Marmo
Contractions of Leibniz algebras and Courant algebroids by means of (1,1)-tensors are introduced and studied. An appropriate version of Nijenhuis tensors leads to natural deformati…
Contractions: Nijenhuis and Saletan tensors for general algebraic structures
J. F. Carinena, J. Grabowski, G. Marmo
Generalizations in many directions of the contraction procedure for Lie algebras introduced by E.J.Saletan are proposed. Products of arbitrary nature, not necessarily Lie brackets,…
Connes' Tangent Groupoid and Strict Quantization
José F. Carinena, Jesús Clemente-Gallardo, Eduardo Follana +3
We address one of the open problems in quantization theory recently listed by Rieffel. By developping in detail Connes' tangent groupoid principle and using previous work by Landsm…