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Licensed Unlicensed Requires Authentication Published by De Gruyter June 14, 2007

Examples of miniversal deformations of infinity algebras

  • Alice Fialowski EMAIL logo and Michael Penkava
From the journal


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.

(Communicated by Frederick R. Cohen)

Received: 2004-10-29
Published Online: 2007-06-14
Published in Print: 2007-05-23

© Walter de Gruyter

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