A new quantum so(2,2) algebra
量子代数
2017-04-17 v1
摘要
By starting from the non-standard quantum deformation of the sl(2,R) algebra, a new quantum deformation for the real Lie algebra so(2,2) is constructed by imposing the former to be a Hopf subalgebra of the latter. The quantum so(2,2) algebra so obtained is realized as a quantum conformal algebra of the (1+1) Minkowskian spacetime. This Hopf algebra is shown to be the symmetry algebra of a time discretization of the (1+1) wave equation and its contraction gives rise to a new quantum Poincar\'e algebra.
引用
@article{arxiv.math/9911138,
title = {A new quantum so(2,2) algebra},
author = {Francisco J. Herranz},
journal= {arXiv preprint arXiv:math/9911138},
year = {2017}
}
备注
5 pages, LaTeX. Contribution to the Procs. Quantum Theory and Symmetries (Goslar, 18-22 July 1999) (World Scientific, 2000), edited by H.-D. Doebner, V.K. Dobrev, J.-D. Hennig and W. Luecke