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Monopole star products are non-alternative (1610.08359v1)
Published 26 Oct 2016 in math-ph, hep-th, math.MP, and quant-ph
Abstract: Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered. Using methods of deformation quantization it is shown here, that algebras for such systems cannot be alternative, i.e. their associator cannot be completely anti-symmetric.
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