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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 1008–1024 (Mi smj1785)  
This article is cited in 9 scientific papers (total in 9 papers)

The classical Yang–Baxter equation on alternative algebras: The alternative D-bialgebra structure on Cayley–Dickson matrix algebras

M. E. Goncharov

Novosibirsk State University
Full-text PDF (329 kB) Citations (9)
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Abstract: We consider the Yang–Baxter equations on alternative algebras and prove that the bialgebras induced by the solutions to these equations are alternative D-bialgebras. We describe the alternative D-bialgebra structure on Cayley–Dickson matrix algebras.
Keywords: alternative algebra, Jordan bialgebra, classical Yang–Baxter equation, nonassociative coalgebra, Cayley–Dickson algebra.
Received: 27.04.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 5, Pages 809–823
DOI: https://doi.org/10.1007/s11202-007-0083-4
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: M. E. Goncharov, “The classical Yang–Baxter equation on alternative algebras: The alternative D-bialgebra structure on Cayley–Dickson matrix algebras”, Sibirsk. Mat. Zh., 48:5 (2007), 1008–1024; Siberian Math. J., 48:5 (2007), 809–823
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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