Invariant four-forms and symmetric pairs

DOI10.1007/s10455-012-9336-yzbMath1266.22017arXiv1202.3407OpenAlexW3105772749MaRDI QIDQ1941759

Andrei Moroianu, Uwe Semmelmann

Publication date: 21 March 2013

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3407

zbMATH Keywords

irreducible representationsexceptional Lie algebrasspin representationss-representations

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Semisimple Lie groups and their representations (22E46) Clifford algebras, spinors (15A66) Differential geometry of symmetric spaces (53C35) Applications of group representations to physics and other areas of science (20C35) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (3)

Homogeneous almost quaternion-Hermitian manifolds ⋮ Pure spinors and a construction of the 𝐸_{*}-Lie algebras ⋮ Octonions, triality, the exceptional Lie algebra F4 and polar actions on the Cayley hyperbolic plane

Cites Work

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• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• ON INVARIANT SKEW-TENSORS
• The maximal subgroups of the classical groups
• Polar representations and symmetric spaces
• The octonions
• Higher rank homogeneous Clifford structures

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