The non-orthogonal Cayley–Dickson construction and the octonionic structure of the E8-lattice

DOI10.1142/S0219498817502309zbMath1386.17005MaRDI QIDQ4594959

Holger P. Petersson

Publication date: 27 November 2017

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

zbMATH Keywords

conic algebra\(E_8\)-latticeCoxeter octonionsdickson octonionsnon-orthogonal Cayley-dickson construction

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Composition algebras (17A75) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Cites Work

• Wild Pfister forms over Henselian fields, \(K\)-theory, and conic division algebras
• Algebras with scalar involution revisited
• Nonassociative algebras with scalar involution
• The zero divisors of the Cayley-Dickson algebras over the real numbers
• On the ternary approach to Clifford structures and Ising lattices
• The sphere packing problem in dimension 8
• Signature of gravity in conic sedenions
• Integral Cayley numbers
• Descent in Buildings
• Hidden nonassociative structure in supersymmetric quantum mechanics
• A NON-ORTHOGONAL CAYLEY–DICKSON DOUBLING
• Quadratic Division Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The non-orthogonal Cayley–Dickson construction and the octonionic structure of the E8-lattice