Real Clifford algebras and quadratic forms over \({\mathbb{F}}_2\): two old problems become one

DOI10.1007/s00283-016-9637-2zbMath1359.11032arXiv1601.07664OpenAlexW2346936228MaRDI QIDQ517887

Valentin Ovsienko

Publication date: 28 March 2017

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07664

zbMATH Keywords

Arf invariantreal Clifford algebrasregular quadratic forms

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Quadratic spaces; Clifford algebras (11E88)

Related Items (1)

Clifford algebras as twisted group algebras and the Arf invariant

Cites Work

• Unnamed Item
• A series of algebras generalizing the octonions and Hurwitz-Radon identity
• Classification of division gradings on finite-dimensional simple real algebras.
• Simple graded commutative algebras.
• The topology of 4-manifolds
• Clifford algebras obtained by twisting of group algebras
• Determinants over graded-commutative algebras, a categorical viewpoint
• Clifford modules
• On parallelizable NS–NS backgrounds

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