Quadratic mappings and Clifford algebras

By J. Helmstetter

Subjects: Forms, quadratic, Algebra, Algebras, linear, Mathematics, Forms, Quadratic, Quadratic Forms, Clifford algebras

Description: 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.