A q-Lorentz Algebra From q-Deformed Harmonic Oscillators
arXiv:q-alg/9509007 · doi:10.1016/S0960-0779(96)00159-2
Abstract
A mapping between the operators of the bosonic oscillator and the Lorentz rotation and boost generators is presented. The analog of this map in the -deformed regime is then applied to -deformed bosonic oscillators to generate a -deformed Lorentz algebra, via an inverse of the standard chiral decomposition. A fundamental representation, and the co-algebra structure, are given, and the generators are reformulated into -deformed rotations and boosts. Finally, a relation between the -boson operators and a basis of -deformed Minkowski coordinates is noted.
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