Irreducible complex skew-Berger algebras

Details Irreducible complex skew-Berger algebras Irreducible complex skew-Berger algebras

2008-11-17

arxiv.org/abs/0811.2719v1

Differential Geometry and its Applications 27 (2009), 743-754

Mathematics

Differential Geometry

23 pages

Scientific paper

10.1016/j.difgeo.2009.09.001

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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