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arXiv · 2112.06077

Orbits of vectors in some representations. II

Igor Pevzner
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Abstract

Let $\Phi$ be a root system of type $A_l$ or $D_l$. Let $K$ be a field of characteristic not $2$. Let $\delta$ be the maximal root of $\Phi$ and set $\Phi_0 = \{\alpha\in\Phi; \delta\perp\alpha\}$. We describe orbits of the group $G_{\text{\rm sc}}(\Phi_0, K)$ acting on the set $\langle e_\alpha; \angle(\alpha, \delta) = \pi/3\rangle$.

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Igor Pevzner. 2021-12-11. Orbits of vectors in some representations. II. https://arxiv.org/abs/2112.06077

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