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On the Geometry of Inhomogeneous Quantum Groups|Paolo Aschieri

On the Geometry of Inhomogeneous Quantum Groups

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Overview

We give a pedagogical introduction to the differential calculus on quantum groups by stressing at all stages the connection with the classical case. We further analyze the relation between differential calculus and quantum Lie algebra of left (right) invariant vectorfields. Equivalent definitions of bicovariant differential calculus are studied and their geometrical interpretation is explained. From these data we construct and analyze the space of vectorfields, and naturally introduce a contraction operator and a Lie derivative, whose properties are discussed.

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Details

  • ISBN-13: 9788876422614
  • ISBN-10: 8876422617
  • Publisher: Edizioni Della Normale
  • Publish Date: October 1999
  • Dimensions: 9.47 x 6.7 x 0.56 inches
  • Shipping Weight: 0.88 pounds
  • Page Count: 180

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