Irreducible complex skew-Berger algebras
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Periodical |
| Magazine / Source | Differential Geometry and its Applications |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1016/j.difgeo.2009.09.001 |
| Field | General mathematics |
| Keywords | Holonomy algebra of a supermanifold; Berger superalgebra; Skew-Berger algebra; Skew-symmetric prolongation |
| Description | 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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