Examples of Miniversal Deformations of Infinity Algebras

Details Examples of Miniversal Deformations of Infinity Algebras Examples of Miniversal Deformations of Infinity Algebras

2005-10-16

arxiv.org/abs/math/0510325v1

Mathematics

Representation Theory

25 pages

Scientific paper

A classical problem in algebraic deformation theory is whether an infinitesimal deformation can be extended to a formal deformation. The answer to this question is usually given in terms of Massey powers. If all Massey powers of the cohomology class determined by the infinitesimal deformation vanish, then the deformation extends to a formal one. We consider another approach to this problem, by constructing a miniversal deformation of the algebra. One advantage of this approach is that it answers not only the question of existence, but gives a construction of an extension as well.

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