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Article Dans Une Revue Journal of Algebraic Combinatorics Année : 2019

On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group

Résumé

The minimal standardizer of a curve system on a punctured disk is the minimal positive braid that transforms it into a system formed only by round curves. In this article, we give an algorithm to compute it in a geometrical way. Then, we generalize this problem algebraically to parabolic subgroups of Artin–Tits groups of spherical type and we show that, to compute the minimal standardizer of a parabolic subgroup, it suffices to compute the pn-normal form of a particular central element.
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Dates et versions

hal-01764494 , version 1 (12-04-2018)

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María Cumplido Cabello. On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group. Journal of Algebraic Combinatorics, 2019, 49 (3), pp.337-359. ⟨10.1007/s10801-018-0837-z⟩. ⟨hal-01764494⟩
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