“Quantum group” structure and “covariant” differential calculus on symmetric algebras corresponding to commutation factors on Zn

  • Rainer Matthes
Part of the Mathematical Physics Studies book series (MPST, volume 13)


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.


Hopf Algebra Quantum Group Differential Form Differential Calculus Homogeneous Element 
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Copyright information

© Springer Science+Business Media Dordrecht 1992

Authors and Affiliations

  • Rainer Matthes
    • 1
  1. 1.Institut für MechanikChemnitzGermany

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