Chain equivalences for symplectic bases, quadratic forms and tensor products of quaternion algebras

DOI10.1142/S0219498815500309zbMath1326.16014MaRDI QIDQ5175430

Adam Chapman

Publication date: 23 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

symplectic groupstensor productsquadratic formsquaternion algebrascharacteristic 2orthogonal decompositionssymplectic baseschain equivalences

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Quadratic and bilinear forms, inner products (15A63) Finite-dimensional division rings (16K20) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (2)

Biquaternion algebras, chain lemma and symbol length ⋮ Symbol length of p-algebras of prime exponent

Cites Work

• Unnamed Item
• Square-central elements and standard generators for biquaternion algebras.
• The chain lemma for biquaternion algebras.
• Some applications of Jordan norms to involutorial simple associative algebras
• Symmetric bilinear forms and quadratic forms

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