First Order Calculi with Values in Right--Universal Bimodules
q-alg
2008-02-03 v1 Quantum Algebra
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 obtained intrinsic, coordinate--free and basis--independent generalization of the first order noncommutative differential calculi with partial derivatives.
Cite
@article{arxiv.q-alg/9609010,
title = {First Order Calculi with Values in Right--Universal Bimodules},
author = {A. Borowiec and V. K. Kharchenko and Z. Oziewicz},
journal= {arXiv preprint arXiv:q-alg/9609010},
year = {2008}
}
Comments
13 pages in TeX, the macro package bcp.tex included, to be published in Banach Center Publication, the Proceedings of Minisemester on Quantum Groups and Quantum Spaces, November 1995