Irreducible holonomy algebras of odd Riemannian supermanifolds
arXiv:1101.0495 · doi:10.1134/S1995080211020041
Abstract
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.
arXiv comment16 pages, an extended version of the appendix from arXiv:0906.5250, to appera in: Lobachevskii J. Math. 32 (2011) no. 2