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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ISBN-13
978-3-7643-8606-1 (9783764386061)
DOI
10.1007/978-3-7643-8606-1
Schweitzer Klassifikation
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.
