Invariant four-forms and symmetric pairs

@article{Moroianu2013InvariantFA,
  title={Invariant four-forms and symmetric pairs},
  author={A. Moroianu and U. Semmelmann},
  journal={Annals of Global Analysis and Geometry},
  year={2013},
  volume={43},
  pages={107-121}
}
  • A. Moroianu, U. Semmelmann
  • Published 2013
  • Mathematics
  • Annals of Global Analysis and Geometry
  • We give criteria for real, complex, and quaternionic representations to define s-representations, focusing on exceptional Lie algebras defined by spin representations. As applications, we obtain the classification of complex representations whose second exterior power is irreducible or has an irreducible summand of co-dimension one, and we give a conceptual computation-free argument for the construction of the exceptional Lie algebras of compact type. 

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 18 REFERENCES
    Higher rank homogeneous Clifford structures
    13
    Polar representations and symmetric spaces
    28
    Isotropy irreducible spaces and s-representations
    11
    CLIFFORD STRUCTURES ON RIEMANNIAN MANIFOLDS
    40
    The Octonions
    605
    Einstein Manifolds and Topology
    804
    ON INVARIANT SKEW-TENSORS.
    14