Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups (Lecture Notes in Physics Monographs, 39, Band 39) - Hardcover

Pittner, Ludwig

Hardcover

ISBN 10: 3540605878 ISBN 13: 9783540605874

Verlag: Springer, 1995

Inhaltsangabe

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.

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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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1995
• Sprache: Englisch
• ISBN 10: 3540605878
• ISBN 13: 9783540605874
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 481
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar