Quasi-invariance and Central extensions

Marmo, G. ; Morandi, G. ; Simoni, A. ; Sudarshan, E. C. G. (1988) Quasi-invariance and Central extensions Physical Review D - Particles, Fields, Gravitation and Cosmology, 37 (8). pp. 2196-2205. ISSN 1550-7998

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Official URL: http://prd.aps.org/abstract/PRD/v37/i8/p2196_1

Related URL: http://dx.doi.org/10.1103/PhysRevD.37.2196


Motivated by the theory of anomalies, the theory of classical dynamical systems described by quasi-invariant Lagrangians is reexamined in the present paper. A mathematical structure similar to the one describing anomalies in quantum field theory is found in systems for which an invariant Lagrangian description requires central extensions of the symmetry groups of the equations of motion. The case in which the symmetry group does not allow for nontrivial central extensions is also discussed.

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