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Differential and Integral Calculus on the Quantum C-Plane

  • J. Rembieliński
Part of the Mathematical Physics Studies book series (MPST, volume 13)

Abstract

Quantum space is an associtive coordination algebra Q equipped with a set F = {x i } of generators x i , i = 1,2,...n [1]. the reordering rule for generators is postulated in the so called Bethe Ansatz form [2]:
$$ \left( {x \times x} \right) = B\left( {x \times x} \right) $$
(1)
where B is a ℂ-valued n 2 x n 2 matrix, x denotes the direct product and x is the column matrix built from the generators x i
$$ x = \left[ \begin{array}{l} {x^{1}} \\ {x^{2}} \\ \vdots \\ {x^{3}} \\ \end{array} \right] $$
(2)

Keywords

Hopf Algebra Quantum Group Algebra Structure Differential Calculus Quantum Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science+Business Media Dordrecht 1992

Authors and Affiliations

  • J. Rembieliński
    • 1
  1. 1.Dep. of Theoretical PhysicsUniversity of LódźLódźPoland

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