Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions

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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.
26 pages

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Quantum Algebra, K-Theory and Homology, Representation Theory, 14D15,13D10,14B12,16S80,16E40,17B55,17B70

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http://salesiana.dossiersoluciones.com/handle/123456789/68229

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308016
 http://arxiv.org/abs/math/0308016

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arXiv