Examples
Given any associative superalgebra A one can define the supercommutator on homogeneous elements by
and then extending by linearity to all elements. The algebra A together with the supercommutator then becomes a Lie superalgebra.
The Whitehead product on homotopy groups gives many examples of Lie superalgebras over the integers.
Read more about this topic: Lie Superalgebra
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—André Breton (1896–1966)
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