Quadratic Algebras, Clifford Algebras, and Arithmetic Forms
introduces mathematicians to the large and dynamic area of algebras
and forms over commutative rings. The book begins very elementary
and progresses gradually in its degree of difficulty. Topics
include the connection between quadratic algebras, Clifford
algebras and quadratic forms, Brauer groups, the matrix theory of
Clifford algebras over fields, Witt groups of quadratic and
symmetric bilinear forms. Some of the new results included by the
author concern the representation of Clifford algebras, the
structure of Arf algebra in the free case, connections between the
group of isomorphic classes of finitely generated projectives of
rank one and arithmetic results about the quadratic Witt group.
General
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