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Varieties of dialgebras and conformal algebras

Pavel Kolesnikov
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Abstract

For a given variety Var of algebras we define the variety Var of dialgebras. This construction turns to be closely related with varieties of pseudo-algebras: every Var-dialgebra can be embedded into an appropriate pseudo-algebra of the variety Var. In particular, Leibniz algebras are exactly Lie dialgebras, and every Leibniz algebra can be embedded into current Lie conformal algebra.

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Pavel Kolesnikov. 2007-08-10. Varieties of dialgebras and conformal algebras. https://arxiv.org/abs/math/0611501

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