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Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups is written by Ludwig Pittner and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 3540478019 (ISBN 10) and 9783540478010 (ISBN 13).
Quantum groups and quantum algebras as well as non-commutative differential geometry are important in mathematics and considered to be 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. 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.