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Ado theorem for nilpotent Hom-Lie algebras. (English) Zbl 1473.17055

Summary: We prove an analog of the Ado theorem – the existence of a finite-dimensional faithful representation – for a certain kind of finite-dimensional nilpotent Hom-Lie algebras.

MSC:

17B61 Hom-Lie and related algebras
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
17B30 Solvable, nilpotent (super)algebras
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