6533b837fe1ef96bd12a2676

RESEARCH PRODUCT

Cohomology and contraction: The “non-relativistic” limit revisited

J. A. De AzcárragaV. Aldaya

subject

Mathematical analysisLie groupConnection formContraction (operator theory)CohomologyDirect productMathematicsMathematical physics

description

In this note we reconsider the transition from P⊗U(1) to the N extended Galilei group \(\tilde G\)(m),first discussed by Saletan. To this aim, we first analyse the relations between the groups G⊗U(1) and \(\tilde G\)c , where G is a Lie group of trivial H o 2 (G,U(1)) cohomology and \(\tilde G\)c is a central extension of Gc (obtained from G by contraction) by U(1).

https://doi.org/10.1007/bfb0016105