Quadratic Mappings and Clifford Algebras
Springer Basel (Verlag)
978-3-7643-8605-4 (ISBN)
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.
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.
| Erscheint lt. Verlag | 17.4.2008 |
|---|---|
| Zusatzinfo | XIII, 504 p. |
| Verlagsort | Basel |
| Sprache | englisch |
| Maße | 165 x 235 mm |
| Gewicht | 1070 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Schlagworte | Algebra • Clifford Algebra • Hardcover, Softcover / Mathematik/Arithmetik, Algebra • HC/Mathematik/Arithmetik, Algebra • hyperbolic space • Lipschitz group • orthogonal group • quadratic form • quadratic mapping |
| ISBN-10 | 3-7643-8605-3 / 3764386053 |
| ISBN-13 | 978-3-7643-8605-4 / 9783764386054 |
| Zustand | Neuware |
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