Title: Algebraic foundations of non-commutative differential geometry and quantum groups
First published: 1995
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.
Subjects: Noncommutative differential geometry, Quantum groups, Mathematical physics, Differential Geometry, Noncommutative algebras, Statistical physics, Thermodynamics, Quantum theory, Physics, Quantum computing, Mathematical Methods in Physics, Numerical and Computational Methods, Information and Physics Quantum Computing
LC classification: QC20.7.G44 P58 1995