  We describe a basis for free Lie superalgebras which uses the theory of basic
commutators. The only description for bases for free Lie superalgebras that I
have found in the literature is in the book "Infinite dimensional Lie
superalgebras" by Bahturin et al. Their bases make use of the theory of
Shirshov bases in free Lie algebras, and I believe that there is a case for
writing up an alternative approach using basic commutators.
