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Hom-Malcev superalgebras - MaRDI portal

Hom-Malcev superalgebras (Q2259122)

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Hom-Malcev superalgebras
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    Hom-Malcev superalgebras (English)
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    27 February 2015
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    As for Hom-Lie (super)algebras, the definition of Hom-Malcev (super)algebras is obtained by twisting the definition of a Malcev (super)algebra by means of a linear (even) endomorphism of the underlying vector space. In the paper under review some basic properties and examples of Hom-Malcev superalgebras are given, mainly with the extra restriction of the twisting linear endomorphism being an algebra homomorphism. Central extensions and double extensions of Hom-Malcev superalgebras are studied, too.
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    Hom-Malcev superalgebra
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    Hom-Malcev operator
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    representation
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    central extension
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    double extension
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