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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 2, Pages 268–284 (Mi smj2082)  
This article is cited in 1 scientific paper (total in 1 paper)

Lie bialgebras arising from alternative and Jordan bialgebras

M. E. Goncharov

Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk
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Abstract: We consider connection between simple alternative D-bialgebras and Lie bialgebras. We prove that each finite-dimensional alternative noncommutative algebra over an algebraically closed field may be equipped with the nontrivial structure of an alternative D-bialgebra.
Keywords: alternative bialgebra, Jordan bialgebra, classical Yang–Baxter equation, nonassociative coalgebra, Cayley–Dickson algebra.
Received: 26.11.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 215–228
DOI: https://doi.org/10.1007/s11202-010-0022-7
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: M. E. Goncharov, “Lie bialgebras arising from alternative and Jordan bialgebras”, Sibirsk. Mat. Zh., 51:2 (2010), 268–284; Siberian Math. J., 51:2 (2010), 215–228
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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