Quadratic algebras, Clifford algebras, and arithmetic Witt groups / Alexander J. Hahn.
By: Hahn, Alexander
.
Material type: 
BookSeries: Universitext.Publisher: New York : Springer Verlag, 1994Description: xi, 286 p. ; 24 cm. + pbk.ISBN: 038794110X ; 354094110X .Subject(s): Clifford algebras | Commutative rings | Forms, QuadraticDDC classification: 512.57 | Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
| General Lending | MTU Bishopstown Library Store Item | 512.57 (Browse shelf(Opens below)) | 1 | Available | 00019216 |
Enhanced descriptions from Syndetics:
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.
Includes bibliographical references (p. 267-280) and index.
Fundamental concepts in the theory of algebras -- Separable algebras -- Groups of free quadratic algebras -- Bilinear and quadratic forms -- Clifford algebra: the basics -- Algebras with standard involution -- Arf algebras and special elements -- Structure of Clifford and arf algebra -- The existence of special elements -- Matrix theory of clifford algebras over fields -- Dis(r) and qu(r) -- Brauer groups and Witt groups -- The arithmetic of wq(r) -- Applications of Clifford modules.