M. Dyer

activity

20022026

most citedOn the weak order of Coxeter groups

49 citations · 71 across the 16 of their papers we have counts for

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2 papers · 1 filter

math.CO2023★ 1 cited

Shi arrangements and low elements in Coxeter groups

Matthew Dyer, Christophe Hohlweg, Susanna Fishel +1

Given an arbitrary Coxeter system $(W, S)$ and a nonnegative integer $m$ , the $m$ -Shi arrangement of $(W, S)$ is a subarrangement of the Coxeter hyperplane arrangement of $(W, S)$ . Th…

math.CO2022

The intermediate orders of a Coxeter group

Angela Carnevale, Matthew Dyer, Paolo Sentinelli

We define a class of partial orders on a Coxeter group associated with sets of reflections. In special cases, these lie between the left weak order and the Bruhat order. We prove t…