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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Local Derivations of Classical Simple Lie Algebrasmple Lie algebra . over an algebraically closed field . of characteristic . is a (global) derivation, excluding the algebra . in the case when . divides .. We also give a description of local derivations on certain simple Lie algebras over fields of . and show that they admit local derivations which are not derivations.

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Condescending

Poisson Structure on the Invariants of Pairs of Matricesa structure on the invariants of pairs of matrices: establishing an alternative proof of the explicit description of the ring of invariants, description of the coordinate ring of the third Calogero-Moser space, and computation of the coefficients of the characteristic equation of a matrix.

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Examples and Patterns on Quadratic Lie Algebras large, but at first sight it is not clear whether an algebra is quadratic. Some necessary structural conditions appear due to the existence of an invariant form forcing elementary patterns. Through the paper we overview classical features and constructions on this topic and focus on the existence and constructions of local quadratic Lie algebras.

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Universal Central Extensions of Compatible Leibniz Algebras algebra. Furthermore, we conjecture that the category of compatible Leibniz algebras does not satisfy the . condition, namely, the composition of central extensions (the middle term in one of them must be perfect) is also a central extension.

Onerous

Invariant Theory of Free Bicommutative Algebras algebras: the Endlichkeitssatz of Emmy Noether, the Molien formula and the Chevalley-Shephard-Todd theorem and show the similarities and the differences in the case of bicommutative algebras. We also describe the symmetric polynomials in ..

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Conference proceedings 2023ference, which was held at the University of Coimbra, Portugal, from July 18–22, 2022. The conference was held in honor of mathematician Alberto Elduque, who has made significant contributions to the study of non-associative structures such as Lie, Jordan, and Leibniz algebras.?.The papers in this v

Confess

2194-1009 e field.Dedicated to Professor Alberto Elduque in honor of hThis proceedings volume presents a selection of peer-reviewed contributions from the Second Non-Associative Algebras and Related Topics (NAART II) conference, which was held at the University of Coimbra, Portugal, from July 18–22, 2022. The