1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.RT2021
On Reflection Representations of Coxeter Groups over Non-Commutative Rings
Annette Pilkingtonn
In this paper, we consider representations of Coxeter groups over a path algebra, R, defined by Dyer. We answer a question posed by Dyer about the multiplicative properties of R, s…
math.RA2021
Subregular J-Rings of the Finite Irreducible Coxeter Systems
Annette Pilkington
In previous papers, the author showed that in many cases of interest there exists an isomorphism between certain path algebras related to the structure of the subregular J-rings of…
math.GR2011★ 1 cited
On The Weak Order Of Orthogonal Groups
Annette Pilkington
A structure of a complete lattice (in the sense of a poset) is defined on the underlying set of the orhtogonal group of a real Euclidean space, by a construction analogous to that…