Classification of hyperbolic planes in algebras of degree three.

DOI10.1016/j.jpaa.2012.11.014zbMath1282.16022OpenAlexW1984391005MaRDI QIDQ387384

Jung-Miao Kuo, Darrell E. Haile

Publication date: 23 December 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.11.014

zbMATH Keywords

Clifford algebras of binary cubic formsdivision algebras of degree threehyperbolic planesKummer elements

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20)

Related Items (2)

On cyclic twists of elliptic curves of period two or three and the determination of their relative Brauer groups ⋮ On the generalized Clifford algebra of a monic polynomial

Cites Work

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• On the Clifford Algebra of a Binary Cubic Form
• Linearizing of n-ic forms and generalized Clifford algebras
• The chain lemma for Kummer elements of degree 3
• A Useful Proposition for Division Algebras of Small Degree
• On the Clifford algebra of a binary form

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