Informace o publikaci
Irreducible Holonomy Algebras of Odd Riemannian Supermanifolds
| Autoři | |
|---|---|
| Rok publikování | 2011 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Lobachevskii Journal of Mathematics |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | Riemannian supermanifold; Levi-Civita superconnection; holonomy algebra; Berger superalgebra |
| Popis | Possible irreducible holonomy algebras g \subset sp(2m,R) of odd Riemannian supermanifolds and irreducible subalgebras g \subset gl(n,R) 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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