Varieties of dialgebras and conformal algebras

Details Varieties of dialgebras and conformal algebras Varieties of dialgebras and conformal algebras

2006-11-16

arxiv.org/abs/math/0611501v3

Sib. Mat. Zh. (Russian), 2008, V.49, no.2. P. 323--340

Mathematics

Quantum Algebra

v2: 20 pages

Scientific paper

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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