Trace forms of central simple algebras

DOI10.1007/BF02571720zbMath0790.11027MaRDI QIDQ1323407

David W. Lewis

Publication date: 26 June 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174618

zbMATH Keywords

quadratic formClifford algebradiscriminantsignaturestrace formBrauer groupcentral simple algebraAlbert formWitt invariantreduced trace mapformally real splitting field

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Finite-dimensional division rings (16K20) Quadratic spaces; Clifford algebras (11E88) Quadratic forms over local rings and fields (11E08)

Related Items (4)

Cohomological invariants of algebras with involution ⋮ Involutions and anti-automorphisms of central simple algebras. ⋮ Fields with bounded Brauer 2-torsion index ⋮ On trace forms of higher degree

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Witt rings as integral rings
• Norm polynomials and algebras
• Witt rings and Brauer groups under multiquadratic extensions. II
• Über den Funktionenkörper der Normfläche einer zentral einfachen Algebra.

This page was built for publication: Trace forms of central simple algebras