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math.DG2008★ 12 cited
Irreducible complex skew-Berger algebras
Anton S. Galaev
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…
math.DG2007★ 14 cited
Holonomy of supermanifolds
Anton S. Galaev
Holonomy groups and holonomy algebras for connections on locally free sheaves over supermanifolds are introduced. A one-to-one correspondence between parallel sections and holonomy…