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math.QA2003★ 1 cited
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.…
math.QA2002★ 1 cited
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…
math.QA2001
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…