Symmetric bilinear forms and quadratic forms

DOI10.1016/0021-8693(72)90094-4zbMath0226.15010OpenAlexW2035640055MaRDI QIDQ2548999

Chih-Han Sah

Publication date: 1972

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90094-4

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63)

Related Items (38)

A note on generic splitting of quadratic forms ⋮ Isotropy of quadratic forms over the function field of a quadric in characteristic 2 ⋮ Linkage of Fields in Characteristic 2 ⋮ Unnamed Item ⋮ Bak's work on theK-theory of rings ⋮ Quadratic forms and Pfister neighbors in characteristic 2 ⋮ Milnor'ory and quadratic forms over fields of characteristic two ⋮ Some invariants of a field of characteristic 2 associated to the \(\hat{u}\)-invariant ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unramified cohomology of quadrics in characteristic two ⋮ Formes quadratiques et extensions en caractéristique 2. (Quadratic forms and extensions of charactéristic two) ⋮ The isometry classification of Hermitian forms over division algebras ⋮ On the tensor product of division algebras ⋮ Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two ⋮ Springer's odd degree extension theorem for quadratic forms over semilocal rings ⋮ Open problems on central simple algebras. ⋮ Chain equivalences for symplectic bases, quadratic forms and tensor products of quaternion algebras ⋮ Classification of quadratic forms over skew fields of characteristic 2 ⋮ Annihilators of quadratic and bilinear forms over fields of characteristic two ⋮ On multiquadratic extensions ofn-hilbert fields in characteristic 2 ⋮ Galois cohomology of the classical groups over imperfect fields ⋮ An abstract treatment of the module of quadratic forms over a semilocal ring ⋮ Reduced models of Albert algebras ⋮ An Azumaya Algebra Version of the Kneser–Tits Problem for Groups of TypeD₄ ⋮ \(u\)-invariants of fields of characteristic 2 ⋮ Jacobson’s theorem for bilinear forms in characteristic 2 ⋮ Ein Teilformensatz für quadratische Formen in Charakteristik 2 ⋮ On n-hilbert fields in characteristic 2 ⋮ A characterization of quadratic forms of type \(E_6\), \(E_7\), and \(E_8\) ⋮ Some applications of Jordan norms to involutorial simple associative algebras ⋮ Witt equivalence of local and global fields of characteristic 2 ⋮ On the Witt-equivalence of fields of characteristic 2 ⋮ The Albert Quadratic Form for an Algebra of Degree Four ⋮ Linking forms, reciprocity for Gauss sums and invariants of 3-manifolds ⋮ Square-central and Artin-Schreier elements in division algebras. ⋮ The behavior of quadratic and differential forms under function field extensions in characteristic two. ⋮ Alternating and symmetric multilinear forms and poincaré algebras

Cites Work

• Composition algebras and their automorphisms
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• A structure theory for Jordan algebras
• Quadratic Forms Over Fields of Characteristic 2
• Quadratic Forms Over Local Fields
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