Abstract
For any given commutation factor ∈ on Zn a first order differential calculus on a certain symmetric algebra Cn ∈ corresponding to f is constructed. It is shown that there exists a kind of a quantum group structure (∈-Hopf algebra) on each Cn ∈ and that the differential calculus is the unique one being covariant (in an adapted sense) with respect to this “quantum group” structure.
Extended version of a talk at the Max Born Symposium, Wojnowice, september 1991.
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© 1992 Springer Science+Business Media Dordrecht
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Matthes, R. (1992). “Quantum group” structure and “covariant” differential calculus on symmetric algebras corresponding to commutation factors on Z n . In: Gielerak, R., Lukierski, J., Popowicz, Z. (eds) Groups and Related Topics. Mathematical Physics Studies, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2801-8_5
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DOI: https://doi.org/10.1007/978-94-011-2801-8_5
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