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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 2, Pages 322–339
(Mi smj1843)
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This article is cited in 64 scientific papers (total in 64 papers)
Varieties of dialgebras and conformal algebras
P. S. Kolesnikov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
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.
Keywords:
Leibniz algebra, dialgebra, conformal algebra, operad, pseudoalgebra.
Received: 16.07.2007
Citation:
P. S. Kolesnikov, “Varieties of dialgebras and conformal algebras”, Sibirsk. Mat. Zh., 49:2 (2008), 322–339; Siberian Math. J., 49:2 (2008), 257–272
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https://www.mathnet.ru/eng/smj1843 https://www.mathnet.ru/eng/smj/v49/i2/p322
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Abstract page: | 465 | Full-text PDF : | 150 | References: | 49 |
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