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On a ternary octonion algebra
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Orientador(es)
Resumo(s)
Following a research direction proposed in an earlier work, the ternary octonion algebra O, which is a ternary composition algebra, is considered. By hand and applying computational linear algebra on matrices, 1-identities and 2-identities of O are established. From some of these identities, the non-conservativeness of O and of some of its binary reduced algebras, which are binary standard composition algebras of types II and III, is proved. Also from identities of O, using computational linear algebra based on the representation theory of the symmetric group, ternary enveloping algebras for ternary Maltsev algebras are constructed.
Descrição
Palavras-chave
Composition álgebra Identity Conservative algebra Maltsev algebra Enveloping álgebra Computational linear algebra
Contexto Educativo
Citação
Beites, P.D., Nicolás, A.P. & Martínez, C. On a Ternary Octonion Algebra. Complex Anal. Oper. Theory 19, 122 (2025). https://doi.org/10.1007/s11785-025-01750-2
Editora
Springer Nature