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Matematicheskie Trudy, 2000, Volume 3, Number 1, Pages 38–47 (Mi mt160)  
This article is cited in 5 scientific papers (total in 5 papers)

Jordan D-Bialgebras and Symplectic Forms on Jordan Algebras

V. N. Zhelyabin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (231 kB) Citations (5)
Abstract: It is shown that a symplectic structure determined on a Jordan algebra induces a symplectic structure on the adjoint Lie KKT-algebra. It is proven that Jordan bialgebras of some type defined on semisimple finite-dimensional Jordan algebras are triangular Jordan bialgebras.
Key words: Jordan bialgebra, Lie bialgebra, triangular bialgebra, Yang–Baxter equation, Kantor–Köcher–Tits construction.
Received: 22.03.1999
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: V. N. Zhelyabin, “Jordan D-Bialgebras and Symplectic Forms on Jordan Algebras”, Mat. Tr., 3:1 (2000), 38–47; Siberian Adv. Math., 10:2 (2000), 142–150
Citation in format AMSBIB
\Bibitem{Zhe00}
\by V.~N.~Zhelyabin
\paper Jordan D-Bialgebras and Symplectic Forms on Jordan Algebras
\jour Mat. Tr.
\yr 2000
\vol 3
\issue 1
\pages 38--47
\mathnet{http://mi.mathnet.ru/mt160}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1778757}
\zmath{https://zbmath.org/?q=an:0951.17014}
\transl
\jour Siberian Adv. Math.
\yr 2000
\vol 10
\issue 2
\pages 142--150
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Abstract page:339
    Full-text PDF :169
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