23 citations · 92 across the 16 of their papers we have counts for
4 papers · 1 filter
Extensions of (super) Lie algebras
Alice Fialowski, Michael Penkava
In this paper, we give a purely cohomological interpretation of the extension problem for (super) Lie algebras; that is the problem of extending a Lie algebra by another Lie algebr…
Global Geometric Deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebra
Alice Fialowski, Martin Schlichenmaier
In two earlier articles we constructed algebraic-geometric families of genus one (i.e. elliptic) Lie algebras of Krichever-Novikov type. The considered algebras are vector fields,…
Comparison of 3-dimensional Z-graded and Z_2-graded L_Infinity algebras
Marilyn Daily, Alice Fialowski, Michael Penkava
This article explores L_Infinity structures -- also known as 'strongly homotopy Lie algebras' -- on 3-dimensional vector spaces with both Z- and Z_2-gradings. Since the Z-graded L_…
On Deformations and Contractions of Lie Algebras
Alice Fialowski, Marc de Montigny
In this contributed presentation, we discuss and compare the mutually opposite procedures of deformations and contractions of Lie algebras. We suggest that with appropriate combina…