Abstract

Let Φ be a root system of type E6, E7, or E8. Let K be a field of characteristic different from 2. Let δ be the maximal root of Φ and Φ0 = {α ∈ Φ; δ ⊥ α}. The orbits of the group Gsc(Φ0, K) acting on the set 〈eα; ∠(α, δ) = π/3〉 are described.

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