Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions
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 Z2-graded Lie algebras. What makes this case interesting is that there are many nonequivalent L-infinity examples, in addition to the Z2-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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