Finite spectral sequences and Massey powers in the deformation theory of graded Lie algebras and associative algebras (Q686111)

This paper deals with algebraic deformations of \(\mathbb{Z}\)-graded associative and Lie algebras. The possibilities and non-uniqueness of the deformations are discussed, using cohomology theory. In particular, the author aims at solving these problems. For this he associates finite spectral sequences to deformations up to a certain order. Such spectral sequences determine the possibility of extending the deformation to higher orders (in the deformation parameter). The results for lowest orders are described separately.