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Quadratic Mappings and Clifford Algebras / by Jacques Helmstetter, Artibano Micali
Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Basel : Birkhäuser Verlag AG, 2008Description: Online-Ressource (digital)ISBN:- 9783764386061
- 512
- 512.57
- 510
- QA150-272
- QA199
Contents:
Summary: Algebraic 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.Summary: 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.PPN: PPN: 1647089808Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
Algebraic 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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