Algebraic foundations of non-commutative differential geometry and quantum groups
著者
書誌事項
Algebraic foundations of non-commutative differential geometry and quantum groups
（Lecture notes in physics, . New series m,
Springer, c1996
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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 presents their algebraic framework. Introductory chapters deal with background material such as Lie and Hopf superalgebras, Lie super-bialgebras, or formal power series.
目次
From the contents: Introduction.- 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 jViewpoint.- Bibliography.- Notation.- Index.
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