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Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions

Alice Fialowski·Michael Penkava
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Abstract

We classify strongly homotopy Lie algebras - also called L-infinity algebras - of one even and two odd dimensions, which are related to $2|1$-dimensional $Z_2$-graded Lie algebras. What makes this case interesting is that there are many nonequivalent L-infinity examples, in addition to the $Z_2$-graded Lie algebra (or superalgebra) structures, yet the moduli space is simple enough that we can give a complete classification up to equivalence.

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BibTeXRIS

Alice Fialowski, Michael Penkava. 2003-08-03. Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions. https://arxiv.org/abs/math/0308016

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