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math.CO2022
A description of the minimal elements of Shi regions in classical Weyl Groups
Balthazar Charles
In this extended abstract, we show how a bijection between parking functions and regions of the Shi arrangement from [Athanasiadis, Linusson '99] (in type ) and [Armstrong, Re…
math.CO2021★ 2 cited
Low elements and small inversion sets are in bijection in rank 3 Coxeter groups
Balthazar Charles
In this extended abstract we announce a proof that, in a Coxeter group of rank 3, low elements are in bijection with small inversion sets. This gives a partial confirmation of Conj…