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Title

First order calculi with values in right-universal bimodules

Authors 1, 2, 3

Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, Pl. Maxa Borna 9, 50-204 Wrocław, Poland
  2. Centro de Investigaciones Teoricas, FESC, UNAM, Apartado Postal 95, C.P. 54700 Cuautitlán Izcalli, Estado de México
  3. Facultad de Estudios Superiores, Cuautitlán, Universidad Nacional Autonoma de México, Apartado Postal 25, C.P. 54700 Cuautitlán Izcalli, Estado de México

Abstract

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.

Bibliography

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Banach Center Publications
1997/40/1
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Pages:
171-184
Main language of publication
English
Published
1997
Exact and natural sciences