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math.RT2006★ 13 cited
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…
math.QA2006
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_…