56 citations · 174 across the 33 of their papers we have counts for
39 papers
On the cohomology of Lie algebras with an invariant inner product
Alice Fialowski, Michael Penkava
In this work we consider all metric Lie algebras, having a nondegenerate symmetric invariant bilinear form, over \C and \R up to dimension 5 and all metric Lie algebras over \C in…
Moduli spaces of low dimensional Lie superalgebras
Fialowski Alice, Michael Penkava
In this paper, we study moduli spaces of low dimensional complex Lie superalgebras. We discover a similar pattern for the structure of these moduli spaces as we observed for ordina…
Stratification of moduli spaces of Lie algebras, similar matrices and bilinear forms
Alice Fialowski, Michael Penkava
In this paper, the authors apply a stratification of moduli spaces of complex Lie algebras to analyzing the moduli spaces of nxn matrices under scalar similarity and bilinear forms…
The moduli space of complex 5-dimensional Lie algebras
Alice Fialowski, Michael Penkava
In this paper, we study the moduli space of all complex 5-dimensional Lie algebras, realizing it as a stratification by orbifolds, which are connected by jump deformations. The orb…
Deformations of Poisson algebras
Michael Penkava, Anne Pichereau
We study -graded Poisson structures defined on -graded commutative polynomial algebras. In small dimensional cases, we exhibit classifications of such Poi…
Restricted Cohomology of Modular Witt Algebras
Tyler J. Evans, Alice Fialowski, Michael Penkava
We classify one-dimensional restricted central extensions of the modular Witt Lie algebra in characteristic .