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.
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.
Artikelnr. des Verlages: 12075584, 978-3-7643-8605-4
2008
Seitenzahl: 520
Erscheinungstermin: 17. April 2008
Englisch
Abmessung: 257mm x 170mm x 33mm
Gewicht: 1070g
ISBN-13: 9783764386054
ISBN-10: 3764386053
Artikelnr.: 23116190
Inhaltsangabe
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.
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.
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.
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.
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