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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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Quadratic Mappings,n . will be especially helpful in ., where their effectiveness also depends on an insightful use of localization and globalization. Besides, the concept of “hyperbolic space” is also essential in the last Sections . and . devoted to Witt rings.
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Hyperbolic Spaces,l isomorphisms . → (.)* → .* and . → . → .* (see (2.3.7)). As a quadratic module, . will also interest us, and the short notation (.) (instead of (.)) will be preferred; it is clear that the quadratic form . on . is determined by its restriction to . and by the above isomorphism . → .*.
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Book 2008rphisms 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..
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