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Quadratic mappings and Clifford algebras / Jacques Helmstetter, Artibano Micali.
- Format:
- Book
- Author/Creator:
- Helmstetter, J. (Jacques), 1942-
- Language:
- English
- Subjects (All):
- Clifford algebras.
- Forms, Quadratic.
- Physical Description:
- 1 online resource (514 pages)
- Edition:
- 1st ed. 2008.
- Place of Publication:
- Basel ; Boston : Birkhauser, c2008.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and indexes.
- ISBN:
- 1-281-37856-9
- 9786611378561
- 3-7643-8606-1
- OCLC:
- 272306832
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