Algebraic foundations of non-commutative differential geometry and quantum groups
By: Ludwig Pittner.
Series: Lecture notes in physics.; m39
Publisher: Springer
Published: 1995
Place of publication: New York
Language: eng
Number of pages: 469
Subjects: Noncommutative differential geometry.; Quantum groups.; Mathematical physics.
Description: Quantum groups and quantum algebras as well as non-commutative differential geometry are important in mathematics. They are also considered useful tools for model building in statistical and quantum physics. This book, addressing scientists and postgraduates, contains a detailed and rather complete presentation of the algebraic framework. Introductory chapters deal with background material such as Lie and Hopf superalgebras, Lie super-bialgebras, or formal power series. A more general approach to differential forms, and a systematic treatment of cyclic and Hochschild cohomologies within their universal differential envelopes are developed. Quantum groups and quantum algebras are treated extensively. Great care was taken to present a reliable collection of formulae and to unify the notation, making this volume a useful work of reference for mathematicians and mathematical physicists.
Notes: Includes bibliographical references (p. 433-452) and index.