First order calculi with values in right-universal bimodules

Andrzej Borowiec; Vladislav Kharchenko; Zbigniew Oziewicz

Banach Center Publications (1997)

  • Volume: 40, Issue: 1, page 171-184
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Borowiec, Andrzej, Kharchenko, Vladislav, and Oziewicz, Zbigniew. "First order calculi with values in right-universal bimodules." Banach Center Publications 40.1 (1997): 171-184. <http://eudml.org/doc/252205>.

@article{Borowiec1997,
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.},
author = {Borowiec, Andrzej, Kharchenko, Vladislav, Oziewicz, Zbigniew},
journal = {Banach Center Publications},
keywords = {differential calculi; quantum groups; noncommutative geometry; derivations; universal right bimodules; partial derivatives},
language = {eng},
number = {1},
pages = {171-184},
title = {First order calculi with values in right-universal bimodules},
url = {http://eudml.org/doc/252205},
volume = {40},
year = {1997},
}

TY - JOUR
AU - Borowiec, Andrzej
AU - Kharchenko, Vladislav
AU - Oziewicz, Zbigniew
TI - First order calculi with values in right-universal bimodules
JO - Banach Center Publications
PY - 1997
VL - 40
IS - 1
SP - 171
EP - 184
AB - 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.
LA - eng
KW - differential calculi; quantum groups; noncommutative geometry; derivations; universal right bimodules; partial derivatives
UR - http://eudml.org/doc/252205
ER -

References

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  2. [2] N. Bourbaki, Elements of mathematics.Algebra I.Chapters 1-3, Springer-Verlag, Berlin, 1989. 
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