Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups [electronic resource] /
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.
Main Authors: | , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg,
1996
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Subjects: | Physics., Quantum physics., Thermodynamics., Quantum computers., Spintronics., Statistical physics., Dynamical systems., Mathematical Methods in Physics., Numerical and Computational Physics., Quantum Physics., Quantum Information Technology, Spintronics., Statistical Physics, Dynamical Systems and Complexity., |
Online Access: | http://dx.doi.org/10.1007/978-3-540-47801-0 |
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