On some extremal variety of Lie superalgebras (Q1276038)

The author studies varieties of Lie algebras and superalgebras over a field \(\Phi\) of characteristic zero. The smallest variety of Lie superalgebras is constructed over \(\Phi\), in which the identity \((\text{ad }y)^n \equiv 0\) does not hold for any \(n\) for the odd variable \(y\).