A01=Kazimierz Szymiczek
advanced linear algebra
Algebra Isomorphism
algebraic field theory
Anisotropic Vector
Arbitrary Field
Author_Kazimierz Szymiczek
Bilinear Functionals
Bilinear Space
Brauer group
Category=PBF
Category=PBH
Division Algebra
DOS
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
field invariants
Formally Real Field
Group Isomorphism
Hasse invariant
Hyperbolic Planes
Metabolic Space
Nonreal Field
nonsingular
Nonsingular Quadratic Form
Nonsingular Symmetric Space
Orthogonal Complement Theorem
Pfister forms
Pure Quaternions
quadratic form classification
Quadratic Form Theory
Quadratic Forms
Quaternion Algebra
Ring Isomorphism
space
symmetric
Symmetric Bilinear Space
Symmetric Space
Tensor Product
Vector Space
Witt Ring
Product details
- ISBN 9789056990763
- Weight: 839g
- Dimensions: 156 x 234mm
- Publication Date: 05 Sep 1997
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt's theory and Pfister's theory of quadratic forms.
Leading topics include the geometry of bilinear spaces, classification of bilinear spaces up to isometry depending on the ground field, formally real fields, Pfister forms, the Witt ring of an arbitrary field (characteristic two included), prime ideals of the Witt ring, Brauer group of a field, Hasse and Witt invariants of quadratic forms, and equivalence of fields with respect to quadratic forms. Problem sections are included at the end of each chapter. There are two appendices: the first gives a treatment of Hasse and Witt invariants in the language of Steinberg symbols, and the second contains some more advanced problems in 10 groups, including the u-invariant, reduced and stable Witt rings, and Witt equivalence of fields.
