Okubo algebras with isotropic norm

DOI10.1007/978-3-031-32707-0_18arXiv2210.03456MaRDI QIDQ6200512

Alberto Elduque

Publication date: 22 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.03456

zbMATH Keywords

finite fieldcomposition algebrasOkubo algebrasspecial grading

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX)

Cites Work

• Algebraic groups of type \(D_4\), triality, and composition algebras.
• Special and pure gradings of Lie algebras
• Symmetric composition algebras
• Okubo quasigroups
• Gradings on symmetric composition algebras
• Algebras with nondegenerate associative symmetric bilinear forms permitting composition, II
• Infinite dimensional quadratic forms admitting composition
• Order 3 Elements in G₂ and Idempotents in Symmetric Composition Algebras
• Composition Algebras
• On flexible composition algebras
• Flexible composition algebras and okubo algebras
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