Clifford algebras of binary homogeneous forms

DOI10.1016/j.jalgebra.2012.05.012zbMath1262.15028OpenAlexW2084790629MaRDI QIDQ1939293

Uzi Vishne, Adam Chapman

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.05.012

zbMATH Keywords

generalized Clifford algebratensor productdivision algebracyclic algebraeigenvector decomposition\(p\)-central spacehomogeneous binary formsymbol Azumaya algebra

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Clifford algebras, spinors (15A66) Multilinear algebra, tensor calculus (15A69) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

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Cites Work

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• Algèbres de Clifford et algèbres exterieures
• The extension of the reduced Clifford algebra and its Brauer class.
• An algebra determined by a binary cubic form
• Non-cyclic algebras with 𝑛-central elements
• On the Clifford Algebra of a Binary Cubic Form
• On the Clifford algebra of a binary form
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