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Differential Calculi on Quantum Spaces determined by Automorphisms

Quantum Algebra 2009-11-10 v1 Mathematical Physics math.MP

Abstract

If the bimodule of 1-forms of a differential calculus over an associative algebra is the direct sum of 1-dimensional bimodules, a relation with automorphisms of the algebra shows up. This happens for some familiar quantum space calculi.

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Cite

@article{arxiv.math/0407273,
  title  = {Differential Calculi on Quantum Spaces determined by Automorphisms},
  author = {Aristophanes Dimakis and Folkert Muller-Hoissen},
  journal= {arXiv preprint arXiv:math/0407273},
  year   = {2009}
}

Comments

7 pages, Proceedings of XIIIth International Colloquium Integrable Systems and Quantum Groups