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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Tác giả chính: Pittner, Ludwig, 1945-
Định dạng: Livre numérique
Ngôn ngữ:Anglais
Được phát hành: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Loạt:Lecture notes in physics. M, Monographs 39
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Chú thích: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Algebraic foundations of non-commutative differential geometry and quantum groups, Ludwig Pittner, New York, Springer, 1995, 1 vol. (xii, 469 p.), Lecture notes in physics, 3-540-60587-8
• Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups, Texte imprimé, 9783662140093
• Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups, Texte imprimé, 9783662140109
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505 0 |a 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. 
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520 |a 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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650 |a Algèbres non commutatives 
650 |a Géométrie différentielle non commutative 
650 |a Physique 
650 |a Physique mathématique 
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