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The Differential Calculus on Quantum Linear Groups

High Energy Physics - Theory 2008-02-03 v2 Quantum Algebra

Abstract

The non-commutative differential calculus on the quantum groups SLq(N)SL_q(N) is constructed. The quantum external algebra proposed contains the same number of generators as in the classical case. The exterior derivative defined in the constructive way obeys the modified version of the Leibnitz rules.

Keywords

Cite

@article{arxiv.hep-th/9402070,
  title  = {The Differential Calculus on Quantum Linear Groups},
  author = {L. D. Faddeev and P. N. Pyatov},
  journal= {arXiv preprint arXiv:hep-th/9402070},
  year   = {2008}
}

Comments

14 pages. To be published in F.A.Berezin memorial volume. Few misprints are corrected, several references are added