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Results tagged with weyl-group
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user 478521
The Weyl group of a root system is a subgroup generated by reflections through the hyperplanes orthogonal to the roots.
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Opposite convex order on the set of positive roots of a semisimple Lie algebra
Let $\mathfrak{g}$ be a semisimple Lie algebra of rank l and let $\Delta^+$ be its set of positive roots. Denote by $s_1,...,s_l$ the simple generators of its Weyl group and let $w_0$ be the longest e …
