Abstract
With every quadratic space φ over a field K one can associate in a functorial way a K-algebra C(φ) called the Clifford algebra of φ. This construction is of fundamental importance in the algebraic theory of quadratic forms. In particular, the invariants e, d, c introduced in chapter 2 find a natural interpretation here. Many properties of these invariants are obvious in the context of Clifford algebras. Moreover, it is easy to include the case of characteristic 2.
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© 1985 Springer-Verlag Berlin Heidelberg
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Scharlau, W. (1985). Clifford Algebras. In: Quadratic and Hermitian Forms. Grundlehren der mathematischen Wissenschaften, vol 270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69971-9_9
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DOI: https://doi.org/10.1007/978-3-642-69971-9_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-69973-3
Online ISBN: 978-3-642-69971-9
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