Invariant four-forms and symmetric pairs

Details Invariant four-forms and symmetric pairs Invariant four-forms and symmetric pairs

2012-02-15

arxiv.org/abs/1202.3407v2

Mathematics

Differential Geometry

16 pages [v2: references added, last section expanded)

Scientific paper

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.

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