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arxiv: 1101.0495 · v1 · pith:QMP6VM52new · submitted 2011-01-03 · 🧮 math.DG

Irreducible holonomy algebras of odd Riemannian supermanifolds

classification 🧮 math.DG
keywords algebrasholonomyirreducibleriemanniansupermanifoldsrealsubsetapproach
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Possible irreducible holonomy algebras $\g\subset\sp(2m,\Real)$ of odd Riemannian supermanifolds and irreducible subalgebras $\g\subset\gl(n,\Real)$ with non-trivial first skew-symmetric prolongations are classified. An approach to the classification of some classes of the holonomy algebras of Riemannian supermanifolds is discussed.

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