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Quadratic Mappings and Clifford Algebras

Quadratic Mappings and Clifford Algebras by Jacques Helmstetter
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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.
Birkhäuser Basel; May 2008
514 pages; ISBN 9783764386061
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Title: Quadratic Mappings and Clifford Algebras
Author: Jacques Helmstetter; Artibano Micali