Quadratic Mappings and Clifford Algebras

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ISBN: 3764386053
ISBN 13: 9783764386054
Autor: Helmstetter, Jacques/Micali, Artibano
Verlag: Springer Basel AG
Umfang: xiii, 504 S.
Erscheinungsdatum: 17.04.2008
Auflage: 1/2008
Produktform: Gebunden/Hardback
Einband: GEB

InhaltsangabeAlgebraic Preliminaries.- Quadratic Mappings.- Clifford Algebras.- Comultiplications. Exponentials. Deformations.- Orthogonal Groups and Lipschitz Groups.- Further Algebraic Developments.- Hyperbolic Spaces.- Complements about Witt Rings and Other Topics.

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.

Artikelnummer: 1109770 Kategorie:

Beschreibung

InhaltsangabeAlgebraic Preliminaries.- Quadratic Mappings.- Clifford Algebras.- Comultiplications. Exponentials. Deformations.- Orthogonal Groups and Lipschitz Groups.- Further Algebraic Developments.- Hyperbolic Spaces.- Complements about Witt Rings and Other Topics.

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