Irreducible complex skew-Berger algebras
arXiv:0811.2719 · doi:10.1016/j.difgeo.2009.09.001
Abstract
Irreducible skew-Berger algebras $\g\subset\gl(n,\Co)$, i.e. algebras spanned by the images of the linear maps $R:\odot^2\Co^n\to\g$ satisfying the Bianchi identity, are classified. These Lie algebras can be interpreted as irreducible complex Berger superalgebras contained in $\gl(0|n,\Co)$.
23 pages