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math.GR2022★ 3 cited
The galaxy of Coxeter groups
Yuri Santos Rego, Petra Schwer
In this paper we introduce the galaxy of Coxeter groups -- an infinite dimensional, locally finite, ranked simplicial complex which captures isomorphisms between Coxeter systems. I…
math.GR2022★ 1 cited
Chimney retractions in affine buildings encode orbits in affine flag varieties
Elizabeth Milićević, Petra Schwer, Anne Thomas
This paper determines the relationship between the geometry of retractions and the combinatorics of folded galleries for arbitrary affine buildings, and so provides a unified frame…