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Keywords
- differential calculus on quantum groups
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: On the geometry of inhomogeneous quantum groups
Authors: Paolo Aschieri
Series Title: Publications of the Scuola Normale Superiore
Publisher: Edizioni della Normale Pisa
Copyright Information: Edizioni della Normale 1999
Softcover ISBN: 978-88-7642-261-4Due: 01 October 1999
Series ISSN: 2239-1460
Series E-ISSN: 2532-1668
Edition Number: 1
Number of Pages: 180