Similarity and consimilarity of elements in the real Cayley-Dickson algebras.

DOI10.1007/BF03041938zbMath1043.17500arXivmath-ph/0003031OpenAlexW2050790817MaRDI QIDQ1975590

Yongge Tian

Publication date: 1999

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0003031

zbMATH Keywords

quaternionssedenionsoctonions

Mathematics Subject Classification ID

Power-associative rings (17A05) Composition algebras (17A75) Nonassociative division algebras (17A35)

Related Items

Octonic massless field equations, Commuting maps and identities with inverses on alternative division rings, Some identities in algebras obtained by the Cayley-Dickson process, Sedenionic formulation for the field equations of multifluid plasma, Sedenionic formulation for generalized fields of dyons, Linear quaternionic equations and their systems, Linear manifolds in sets of solutions of quaternionic polynomial equations of several types, Consimilarity of quaternions and coneigenvalues of quaternion matrices, Octonic massive field equations, Two universal similarity factorization equalities for commutative involutory and idempotent matrices and their applications, Number extensions and some equations in Clifford algebras, Matrix representations of octonions and their applications, An efficient method for solving equations in generalized quaternion and octonion algebras

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