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
ABI
Аннотация
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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