Nathan Chapelier‐Laget

activity

20182026

most citedShi arrangements and low elements in affine Coxeter groups

2 citations · 2 across the 10 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.CO2020

An order on circular permutations

Antoine Abram, Nathan Chapelier-Laget, Christophe Reutenauer

Motivation coming from the study of affine Weyl groups, a structure of ranked poset is defined on the set of circular permutations in $S_{n}$ (that is, $n$ -cycles). It is isomorphic…

math.CO2020

A symmetric group action on the irreducible components of the Shi variety associated to $W (A_{n})$

Nathan Chapelier-Laget

Let $W_{a}$ be an affine Weyl group with corresponding finite root system $Φ$ . In \cite{JYS1} Jian-Yi Shi characterized each element $w \in W_{a}$ by a $Φ^{+}$ -tuple of integers $(k(w,α…

math.CO2020

Shi variety corresponding to an affine Weyl group

Nathan Chapelier-Laget

Let $W$ be an irreducible Weyl group and $W_{a}$ its affine Weyl group. In this article we show that there exists a bijection between $W_{a}$ and the integral points of an affine varie…

An order on circular permutations

A symmetric group action on the irreducible components of the Shi variety associated to W(An​)

Shi variety corresponding to an affine Weyl group

A symmetric group action on the irreducible components of the Shi variety associated to $W (A_{n})$