A new quantum so(2,2) algebra
نویسنده
چکیده
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 (2 + 1) quantum Poincaré algebra.
منابع مشابه
Non-standard quantum so(2,2) and beyond
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