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Orbits of Vectors in some Representations. I

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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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Authors and Affiliations

  1. Herzen State Pedagogical University of Russia, St.Petersburg, Russia

    I. M. Pevzner

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  1. I. M. Pevzner
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Correspondence to I. M. Pevzner.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 484, 2019, pp. 149–164.

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Pevzner, I.M. Orbits of Vectors in some Representations. I. J Math Sci 252, 849–859 (2021). https://doi.org/10.1007/s10958-021-05205-9

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