# 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

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topBorowiec, 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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