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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 2, Pages 322–339 (Mi smj1843)  
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
Full-text PDF (397 kB) Citations (64)
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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
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 2, Pages 257–272
DOI: https://doi.org/10.1007/s11202-008-0026-8
Bibliographic databases:
UDC: 512.554
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 64 articles:
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