Name: On the geometry of inhomogeneous quantum groups
ISBN: 978-88-7642-261-4

Overview

Authors:

Paolo Aschieri ⁰

Paolo Aschieri
1. Istituto Nazionale di Fisica Nucleare Gruppo Collegato di Alessandria, Alessandria, Italy
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Part of the book series: Publications of the Scuola Normale Superiore (PSNS)

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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

Istituto Nazionale di Fisica Nucleare Gruppo Collegato di Alessandria, Alessandria, Italy

Paolo Aschieri

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
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

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On the geometry of inhomogeneous quantum groups