First order calculi with values in right-universal bimodules

Volume 40 / 1997

Andrzej Borowiec, Vladislav Kharchenko, Zbigniew Oziewicz Banach Center Publications 40 (1997), 171-184 DOI: 10.4064/-40-1-171-184


The purpose of this note is to show how calculi on unital associative algebra with universal right bimodule generalize previously studied constructions by Pusz and Woronowicz [1989] and by Wess and Zumino [1990] and that in this language results are in a natural context, are easier to describe and handle. As a by-product we obtain intrinsic, coordinate-free and basis-independent generalization of the first order noncommutative differential calculi with partial derivatives.


  • Andrzej Borowiec
  • Vladislav Kharchenko
  • Zbigniew Oziewicz

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