Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups
Published on 29. January 2009
XII, 469 pages
978-3-540-47801-0 (ISBN)
Description
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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12/1995
Springer
€85.59
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Content
Lie Algebras.- Lie Superalgebras.- Coalgebras and Z2-Graded Hopf Algebras.- Formal Power Series with Homogeneous Relations.- Z2-Graded Lie-Cartan Pairs.- Real Lie-Hopf Superalgebras.- Universal Differential Envelope.- Quantum Groups.- Categorial Viewpoint.
