Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups: v. M39 - Rilegato

Pittner, Ludwig

 
9783540605874: Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups: v. M39

Sinossi

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 presents their algebraic framework. Introductory chapters deal with background material such as Lie and Hopf superalgebras, Lie super-bialgebras, or formal power series.

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Dalla quarta di copertina

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.

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9780387605876: Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups

Edizione in evidenza

ISBN 10:  0387605878 ISBN 13:  9780387605876
Rilegato