First-Order Differential Calculus

  • Stephen Bruce Sontz
Part of the Universitext book series (UTX)


The construction of an adequate differential calculus for a given quantum space (generalizing the de Rham theory in the exterior algebra associated to a smooth manifold) is a nontrivial problem. And the resulting theory was not as one had anticipated and was even, at first, considered to be defective in some intuitive sense.


Commutative Algebra Noncommutative Geometry Differential Calculus Leibniz Rule Quantum Space 
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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Stephen Bruce Sontz
    • 1
  1. 1.Centro de Investigación en Matemáticas, A.C.GuanajuatoMexico

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