TY  - BOOK
AU  - Pittner,Ludwig
ED  - SpringerLink (Online service)
TI  - Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups
T2  - Lecture Notes in Physics Monographs,
SN  - 9783540478010
AV  - QC5.53 
U1  - 530.15 23
PY  - 1996///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Physics
KW  - Quantum theory
KW  - Mathematical physics
KW  - Quantum computing
KW  - Statistical physics
KW  - Thermodynamics
KW  - Mathematical Methods in Physics
KW  - Numerical and Computational Methods
KW  - Quantum Physics
KW  - Quantum Computing, Information and Physics
KW  - Statistical Physics
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-47801-0
ER  -