Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups

Pittner, Ludwig

ISBN 10: 3540605878 / ISBN 13: 9783540605874

Editore: Berlin/Heidelberg/New York : Springer-Verlag, 1996

Riguardo questo articolo

Original boards, illustrated with numerous equations, graphs and diagrams, 8vo. Lecture Notes in Physics, m39.; Name in pen on title page.

Codice articolo 341049-ZA17

Dati bibliografici

• Titolo: Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups
• Editore: Berlin/Heidelberg/New York : Springer-Verlag
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 3540605878
• ISBN 13: 9783540605874
• Rilegatura: Rilegato
• Condizione: Good

Descrizione articolo

Riassunto

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.

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.