Integrable deformations of nilpotent color Lie superalgebras (Q719387)

The authors study the infinitesimal deformations of the \(\mathbb Z_{3}\)-color Lie superalgebra \(L^{n,m,p}\), obtain these deformations for all filiform \(\mathbb Z_{3}\)-color Lie superalgebras. In particular, they determine the dimension of the subspaces that are composed by linearly integrable deformations. Some errors in Theorem 1 are revised in the corrigendum.