Invariant four-forms and symmetric pairs
Differential Geometry
2019-01-08 v2 Representation Theory
Abstract
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.
Cite
@article{arxiv.1202.3407,
title = {Invariant four-forms and symmetric pairs},
author = {Andrei Moroianu and Uwe Semmelmann},
journal= {arXiv preprint arXiv:1202.3407},
year = {2019}
}
Comments
16 pages [v2: references added, last section expanded)