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Titlebook: Quadratic Mappings and Clifford Algebras; Jacques Helmstetter,Artibano Micali Book 2008 Birkhäuser Basel 2008 Clifford algebra.Lipschitz g

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书目名称Quadratic Mappings and Clifford Algebras
编辑Jacques Helmstetter,Artibano Micali
视频video
概述The study of Clifford algebras leads to sophisticated theories involving noncommutative algebras over a ring, e.g., Azumaya algebras, Morita theory, separability.Provides a self-contained introduction
图书封面Titlebook: Quadratic Mappings and Clifford Algebras;  Jacques Helmstetter,Artibano Micali Book 2008 Birkhäuser Basel 2008 Clifford algebra.Lipschitz g
描述.After a classical presentation of quadratic mappings and Clifford algebras over arbitrary rings (commutative, associative, with unit), other topics involve more original methods: interior multiplications allow an effective treatment of deformations of Clifford algebras; the relations between automorphisms of quadratic forms and Clifford algebras are based on the concept of the Lipschitz monoid, from which several groups are derived; and the Cartan-Chevalley theory of hyperbolic spaces becomes much more general, precise and effective..
出版日期Book 2008
关键词Clifford algebra; Lipschitz group; algebra; hyperbolic space; orthogonal group; quadratic form; quadratic
版次1
doihttps://doi.org/10.1007/978-3-7643-8606-1
isbn_ebook978-3-7643-8606-1
copyrightBirkhäuser Basel 2008
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https://doi.org/10.1007/978-3-7643-8606-1Clifford algebra; Lipschitz group; algebra; hyperbolic space; orthogonal group; quadratic form; quadratic
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Jacques Helmstetter,Artibano MicaliThe study of Clifford algebras leads to sophisticated theories involving noncommutative algebras over a ring, e.g., Azumaya algebras, Morita theory, separability.Provides a self-contained introduction
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Algebraic Preliminaries,some more specialized knowledge:. Complete knowledge of . this chapter is not indispensable, because precise references will always be given when the most difficult or specialized results are needed in the following chapters.
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