Quadratic Mappings and Clifford Algebras
By: Helmstetter, Jacques [author.].
Contributor(s): Micali, Artibano [author.2] | SpringerLink (Online service)0.
Material type:
BookPublisher: Basel : Birkh�user Basel, 2008. Description: online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783764386061.Subject(s): Mathematics | Algebra.1 | Mathematics.2 | Algebra.1DDC classification: 512 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| PK Kelkar Library, IIT Kanpur | Available | EBK10445 |
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.
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.
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