Quadratic Mappings and Clifford Algebras
Title:
Quadratic Mappings and Clifford Algebras
Author:
Helmstetter, Jacques. author.
ISBN:
9783764386061
Personal Author:
Physical Description:
online resource.
Contents:
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.
Abstract:
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.
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Electronic Access:
http://dx.doi.org/10.1007/978-3-7643-8606-1