Classical R-matrices and Novikov Algebras
نویسنده
چکیده
We study the existence problem for Novikov algebra structures on finite-dimensional Lie algebras. We show that a Lie algebra admitting a Novikov algebra is necessarily solvable. Conversely we present a 2-step solvable Lie algebra without any Novikov structure. We use extensions and classical r-matrices to construct Novikov structures on certain classes of solvable Lie algebras.
منابع مشابه
Construction of Gel’fand-Dorfman Bialgebras from Classical R-Matrices
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