Non-standard quantum so(3,2) and its contractions
q-alg
2008-11-26 v1 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.q-alg/9704006,
title = {Non-standard quantum so(3,2) and its contractions},
author = {Francisco J. Herranz},
journal= {arXiv preprint arXiv:q-alg/9704006},
year = {2008}
}
Comments
9 pages, LaTeX