Varieties of dialgebras and conformal algebras

By Pavel S. Kolesnikov. 2006

95 citations recorded by the source corpus.

We introduce and study the concept of a variety of dialgebras which is closely related to the concept of a variety of conformal algebras: Each dialgebra of a given variety embeds into an appropriate conformal algebra of the same variety. In particular, the Leibniz algebras are exactly Lie dialgebras, and each Leibniz algebra embeds into a conformal Lie algebra.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6c50ce477cd17e3c49ea1ae4d94197f324539810

How researchers see this paper

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In Algebra and Number Theory

1. Yuqun Chen
2. Leonid A. Bokut
3. Pavel S. Kolesnikov

In Geometry and Topology

1. Yuqun Chen
2. Leonid A. Bokut
3. Pavel S. Kolesnikov

In Statistical and Nonlinear Physics

1. Yuqun Chen
2. Leonid A. Bokut
3. Pavel S. Kolesnikov

Citations in the corpus

• Composition-Diamond lemma for associative $n$-conformal algebras (2004, background): “Structure theory of associative and Lie conformal algebras were studied in [5, 38, 39, 40, 41, 42, 43, 44, 45, 46].”