Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions

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dc.creatorFialowski, Alice
dc.creatorPenkava, Michael
dc.date2003-08-03
dc.date.accessioned2026-07-07T05:00:02Z
dc.date.available2026-07-07T05:00:02Z
dc.descriptionWe 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.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0308016
dc.identifierhttp://arxiv.org/abs/math/0308016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68229
dc.subjectQuantum Algebra
dc.subjectK-Theory and Homology
dc.subjectRepresentation Theory
dc.subject14D15,13D10,14B12,16S80,16E40,17B55,17B70
dc.titleStrongly Homotopy Lie Algebras of One Even and Two Odd Dimensions
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