Non-standard quantum so(3,2) and its contractions

Details Non-standard quantum so(3,2) and its contractions Non-standard quantum so(3,2) and its contractions

1997-04-07

arxiv.org/abs/q-alg/9704006v1

J.Phys.A30:6123-6129,1997

Mathematics

Quantum Algebra

9 pages, LaTeX

Scientific paper

10.1088/0305-4470/30/17/019

A full (triangular) quantum deformation of so(3,2) is presented by considering this algebra as the conformal algebra of the 2+1 dimensional Minkowskian spacetime. Non-relativistic contractions are analysed and used to obtain quantum Hopf structures for the conformal algebras of the 2+1 Galilean and Carroll spacetimes. Relations between the latter and the null-plane quantum Poincar\'e algebra are studied.

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