When Hom-Lie structures form a Jordan algebra
نویسندگان
چکیده
We are concerned with the question when Hom-Lie structures on a Lie algebra closed respect to Jordan product. Somewhat unexpectedly, this leads us certain questions connected Yang-Baxter equation, and decomposition of into sum subalgebras given properties.
منابع مشابه
Hom-algebra structures
A Hom-algebra structure is a multiplication on a vector space where the structure is twisted by a homomorphism. The structure of Hom-Lie algebra was introduced by Hartwig, Larsson and Silvestrov in [4] and extended by Larsson and Silvestrov to quasi-hom Lie and quasi-Lie algebras in [5, 6]. In this paper we introduce and study Hom-associative, Hom-Leibniz, and Hom-Lie admissible algebraic struc...
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The purpose of this paper is to study Hom-Lie superalgebras, that is a superspace with a bracket for which the superJacobi identity is twisted by a homomorphism. This class is a particular case of Γ-graded quasi-Lie algebras introduced by Larsson and Silvestrov. In this paper, we characterize Hom-Lie admissible superalgebras and provide a construction theorem from which we derive a one paramete...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2022
ISSN: ['1793-6829', '0219-4988']
DOI: https://doi.org/10.1142/s0219498823501979