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math.RT2005
Deformations of Four Dimensional Lie Algebras
Alice Fialowski, Michael Penkava
We study the moduli space of four dimensional ordinary Lie algebras, and their versal deformations. Their classification is well known; our focus in this paper is on the deformatio…
math.RT2005
Examples of Miniversal Deformations of Infinity Algebras
Alice Fialowski, Michael Penkava
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…
math.QA2005
The Moduli Space of Three Dimensional Lie Algebras
Carolyn Otto, Michael Penkava
In this paper, we consider the versal deformations of three dimensional Lie algebras. We classify Lie algebras and study their deformations by using linear algebra techniques to st…