Particles and Quantum Symmetries

Mathematics – Quantum Algebra

Scientific paper

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6 pages in Latex, in Proceedings of the XVI Workshop on Geometric Methods in Physics, July 1-7, 1997, Bia{\l}owieza, Poland

Scientific paper

10.1016/S0034-4877(99)80031-7

The concept of quantum commutativity with respect to an action or coaction of a given Hopf algebra is used for the algebraic description of a system of particles and their interaction with certain quantum field. Graded commutativity and particles in singular magnetic field are considered as a particular example of the general formalism. The corresponding statistics and generalized Pauli exclusion principle are also mentioned.

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