Algebraic foundations of non-commutative differential geometry and quantum groups /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1996.
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| Series: | Lecture notes in physics. Monographs ;
39. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xii, 469 pages) |
| ISBN: | 9783540478010 (electronic bk.) 3540478019 (electronic bk.) |
| ISSN: | 0940-7677 ; |