Quadratic Mappings and Clifford Algebras

Erscheinungsjahr 2008
ISBN: 978-3-7643-8605-4
Verlag: Springer

Buch, Englisch, 504 Seiten, Format (B × H): 170 mm x 257 mm, Gewicht: 1067 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Helmstetter, Jacques

Micali, Artibano

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines

Inhaltsverzeichnis

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.