Quadratic Mappings and Clifford Algebras
Publication year: 2008
ISBN: 978-3-7643-8606-1
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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.
Subject: Mathematics and Statistics, Clifford algebra, Lipschitz group, algebra, hyperbolic space, orthogonal group, quadratic form, quadratic mapping
