Irreducible complex skew-Berger algebras
| Autoři | |
|---|---|
| Rok publikování | 2009 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Differential Geometry and its Applications |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://dx.doi.org/10.1016/j.difgeo.2009.09.001 |
| Obor | Obecná matematika |
| Klíčová slova | Holonomy algebra of a supermanifold; Berger superalgebra; Skew-Berger algebra; Skew-symmetric prolongation |
| Popis | 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 $\gl(0|n,\Co)$. |
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