Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups [electronic resource] /

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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Detalhes bibliográficos
Principais autores: Pittner, Ludwig. author., SpringerLink (Online service)
Formato: Texto biblioteca
Idioma:eng
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg, 1996
Assuntos:Physics., Quantum physics., Thermodynamics., Quantum computers., Spintronics., Statistical physics., Dynamical systems., Mathematical Methods in Physics., Numerical and Computational Physics., Quantum Physics., Quantum Information Technology, Spintronics., Statistical Physics, Dynamical Systems and Complexity.,
Acesso em linha:http://dx.doi.org/10.1007/978-3-540-47801-0
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