3 citations · 5 across the 4 of their papers we have counts for
6 papers
Cohomology of graded Lie algebras of maximal class
Alice Fialowski, Dmitri V. Millionschikov
We compute the cohomology with trivial coefficients of two graded infinite-dimensional Lie algebras of maximal class, give explicit formulas for their representative cocycles. Also…
Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions
Alice Fialowski, Michael Penkava
We classify strongly homotopy Lie algebras - also called L-infinity algebras - of one even and two odd dimensions, which are related to -dimensional -graded Lie algebras.…
Versal Deformations of Three Dimensional Lie Algebras as L-infinity Algebras
Alice Fialowski, Michael Penkava
We consider versal deformations of 0|3-dimensional L-infinity algebras, which correspond precisely to ordinary (non-graded) three dimensional Lie algebras. The classification of su…
Global Deformations of the Witt Algebra of Krichever-Novikov Type
Alice Fialowski, Martin Schlichenmaier
By considering non-trivial global deformations of the Witt (and the Virasoro) algebra given by geometric constructions it is shown that, despite their infinitesimal and formal rigi…
Examples of infinity and Lie algebras and their versal deformations
Alice Fialowski, Michael Penkava
This article explores some simple examples of L-infinity algebras and the construction of miniversal deformations of these structures. Among other things, it is shown that there ar…
Construction of Miniversal Deformations of Lie Algebras
Alice Fialowski, Dmitry Fuchs
We consider deformations of finite or infinite dimensional Lie algebras over a field of characteristic 0. There is substantial confusion in the literature if one tries to describe…