Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions
Quantum Algebra
2007-05-23 v1 K-Theory and Homology
Representation Theory
Abstract
We classify strongly homotopy Lie algebras - also called L-infinity algebras - of one even and two odd dimensions, which are related to -dimensional -graded Lie algebras. What makes this case interesting is that there are many nonequivalent L-infinity examples, in addition to the -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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Cite
@article{arxiv.math/0308016,
title = {Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions},
author = {Alice Fialowski and Michael Penkava},
journal= {arXiv preprint arXiv:math/0308016},
year = {2007}
}
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26 pages