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arXiv 0806.3507math.QAmath-phmath.MP
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Maxwell operator on q-Minkowski space and q-hyperboloid algebras

A. Dutriaux, D. Gurevich

英文摘要:

We introduce an analog of the Maxwell operator on a q-Minkowski space algebra (treated as a particular case of the so-called Reflection Equation Algebra) and on certain of its quotients. We treat the space of "quantum differential forms" as a projective module in the spirit of the Serre-Swan approach. Also, we use "braided tangent vector fields" which are q-analogs of Poisson vector fields associated to the Lie bracket sl(2).

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