On the n-Lie algebras of generalized Jacobian and Wronskian
In this paper, we introduce skew-symmetric n-ary brackets on an associative commutative algebra,
constructed by extending the Jacobian and Wronskian determinants with two additional columns.
We determine the necessary and sufficient conditions under which the resulting n-ary algebras are
n-Lie algebras. Moreover, we present several new examples of n-Lie algebras.
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