Examples of Miniversal Deformations of Infinity Algebras

Simple item page
dc.creatorFialowski, Alice
dc.creatorPenkava, Michael
dc.date2005-10-16
dc.date.accessioned2026-07-07T06:47:32Z
dc.date.available2026-07-07T06:47:32Z
dc.descriptionA 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.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0510325
dc.identifierhttp://arxiv.org/abs/math/0510325
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103681
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject14D15;13D10;14B12;16S80;16E40;17B55;17B70
dc.titleExamples of Miniversal Deformations of Infinity Algebras
dc.typetext

Files

Collections

arXiv