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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

Linear and Multilinear Algebrajournal2022en

ABI

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.

Mavzular

Advanced Topics in Algebra Algebraic structures and combinatorial models Finite Group Theory Research

Identifikatorlar

DOI: 10.1080/03081087.2021.2022086

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