Quadratic Algebras, Clifford Algebras and Arithmetic Witt Groups (Universitext) - Softcover

Hahn, Alexander J.

Softcover

ISBN 10: 354094110X ISBN 13: 9783540941101

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1993

Synopsis

This volume introduces mathematicians to the large and dynamic area of algebras and forms over commutative rings. The book begins with elementary aspects 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; and 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.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1993
• Language: English
• ISBN 10: 354094110X
• ISBN 13: 9783540941101
• Binding: Perfect Paperback
• Number of pages: 297