On cohomology of filiform Lie superalgebras
arXiv:1809.00497 · doi:10.1016/j.geomphys.2018.08.010
Abstract
Suppose the ground field $\mathbb{F}$ is an algebraically closed field of characteristic different from 2, 3. We determine the Betti numbers and make a decomposition of the associative superalgebra of the cohomology for the model filiform Lie superalgebra. We also describe the associative superalgebra structures of the (divided power) cohomology for some low-dimensional filiform Lie superalgebras.
30 pages