Ludwig Pittner

Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 469
• Erscheinungstermin: 29. Januar 2009
• Englisch
• ISBN-13: 9783540478010
• Artikelnr.: 53334100