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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 540–547 (Mi smj1860)  
This article is cited in 12 scientific papers (total in 12 papers)

Conformal representations of Leibniz algebras

P. S. Kolesnikov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (286 kB) Citations (12)
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Abstract: We study the embedding construction of Lie dialgebras (Leibniz algebras) into conformal algebras. This construction leads to the concept of a conformal representation of Leibniz algebras. We prove that each (finite-dimensional) Leibniz algebra possesses a faithful linear representation (of finite type). As a corollary we give a new proof of the Poincaré–Birkhoff–Witt theorem for Leibniz algebras.
Keywords: Leibniz algebra, dialgebra, conformal algebra.
Received: 14.08.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 3, Pages 429–435
DOI: https://doi.org/10.1007/s11202-008-0043-7
Bibliographic databases:
UDC: 512.554.34
Language: Russian
Citation: P. S. Kolesnikov, “Conformal representations of Leibniz algebras”, Sibirsk. Mat. Zh., 49:3 (2008), 540–547; Siberian Math. J., 49:3 (2008), 429–435
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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