New examples of infinite-dimensional <i>n</i>-Lie algebras
Doston JumaniyozovInstitute of Mathematics of Uzbekistan Academy of Sciences, Tashkent, UzbekistanB. A. OmirovInstitute of Mathematics of Uzbekistan Academy of Sciences, National University of Uzbekistan, Tashkent, Uzbekistan
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Annotatsiya
In this paper we introduce skew-symmetric n-ary brackets on an associative commutative algebra, obtained from Jacobian and Wronskian by adding one more column. For the n-algebras obtained we find the necessary and sufficient conditions to be n-Lie algebras. Thereby we give several new examples of n-Lie algebras. Some of the examples happen to be simple n-Lie algebras.
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