Irreducible complex skew-Berger algebras

DOI10.1016/j.difgeo.2009.09.001zbMath1200.17010arXiv0811.2719OpenAlexW1966435445WikidataQ115357196 ScholiaQ115357196MaRDI QIDQ1038518

Anton S. Galaev

Publication date: 18 November 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2719

zbMATH Keywords

Bianchi identityCartan prolongationholonomy algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Homological methods in Lie (super)algebras (17B55) Issues of holonomy in differential geometry (53C29) Simple, semisimple, reductive (super)algebras (17B20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Root systems (17B22)

Related Items (5)

Classification of maximal transitive prolongations of super-Poincaré algebras ⋮ Irreducible holonomy algebras of Riemannian supermanifolds ⋮ \(G(3)\)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation ⋮ Irreducible holonomy algebras of odd Riemannian supermanifolds ⋮ One component of the curvature tensor of a Lorentzian manifold

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• On Einstein Equations on Manifolds and Supermanifolds
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• Connections with irreducible holonomy representations

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