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- W2118640839 abstract "Let R be a root system with fixed basis ϵ and let W be its Weyl group. For every element w ϵ W, there exists a natural correspondence between reduced decompositions of w and some linear orders of the set of inversions of w. We study combinatorial properties of these orders. Furthermore, in the case of a symmetric group, for any permutation w we construct a linear action of the symmetric group ϵl(w) on the space spanned by reduced decompositions of w." @default.
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- W2118640839 date "1995-05-01" @default.
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- W2118640839 title "Reduced decompositions in Weyl groups" @default.
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- W2118640839 doi "https://doi.org/10.1016/0195-6698(95)90033-0" @default.
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