Abstract
We consider quantizations and braidings of modules with grading by an abelian group. In particular we investigate modules with grading by Zn and the algebra of polynomials in n variables. We find quantizations of this algebra and quantization of its differential structures. Exploiting the fact that the electromagnetic field tensor can be described by a curvature, the quantizations of the curvature of the polynominal algebra (for n = 4) give quantizations of the electromagnetic field tensor and Maxwell’s equations.
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Huru, H.L. (2009). The Polynomial Algebra and Quantizations of Electromagnetic Fields. In: Kruglikov, B., Lychagin, V., Straume, E. (eds) Differential Equations - Geometry, Symmetries and Integrability. Abel Symposia, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00873-3_6
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DOI: https://doi.org/10.1007/978-3-642-00873-3_6
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