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arXiv · 0811.2719

Irreducible complex skew-Berger algebras

Anton S. Galaev
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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 $\gl(0|n,\Co)$.

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Anton S. Galaev. 2008-11-17. Irreducible complex skew-Berger algebras. https://doi.org/10.1016/j.difgeo.2009.09.001

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