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arxiv: 0811.2719 · v1 · submitted 2008-11-17 · 🧮 math.DG

Irreducible complex skew-Berger algebras

classification 🧮 math.DG
keywords algebrasirreduciblecomplexskew-bergerbergerbianchiclassifiedcontained
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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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