Titlebook: Non-Associative Algebras and Related Topics; NAART II, Coimbra, P Helena Albuquerque,Jose Brox,Paulo Saraiva Conference proceedings 2023 Th

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On Certain Algebraic Structures Associated with Lie (Super)AlgebrasIn this paper we exhibit a survey of constructions of Lie (super)algebras associated with certain triple systems, several examples and a historical story in nonassociative algebras (in particular, Jordan algebras).

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On a Theorem of Brauer-Cartan-Hua Type in SuperalgebrasWe prove a theorem of Brauer-Cartan-Hua type in superalgebras. More precisely, we show that if . is a prime associative superalgebra with superinvolution, and . is a subalgebra of symmetric elements of . such that . for every element ., then ., unless if . is a central order in a Clifford superalgebra of dimension 4.

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The Image of Polynomials in One Variable on the Algebra of , Upper Triangular MatricesWe explicitly compute the image of a one-variable polynomial on the algebra of . upper triangular matrices over an algebraically closed field . of characteristic different from 2. As an application, we compute the image of such polynomials on the full matrix algebra of order 3 over the field ..

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Springer Proceedings in Mathematics & Statisticshttp://image.papertrans.cn/n/image/666851.jpg

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https://doi.org/10.1007/978-3-031-32707-0representation theory; algebra; algebraic structure; graded algebra; superalgebra; non-associative algebr

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978-3-031-32709-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Helena Albuquerque,Jose Brox,Paulo SaraivaFeatures groundbreaking research in Lie, Leibniz, and Jordan algebras, and other non-associative structures.Curated by leading experts in the field.Dedicated to Professor Alberto Elduque in honor of h