Elizabeth Milićević

activity

20222025

most citedChimney retractions in affine buildings encode orbits in affine flag varieties

1 citations · 1 across the 7 of their papers we have counts for

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math.GR2024

The geometry of conjugation in affine Coxeter groups

Elizabeth Milićević, Petra Schwer, Anne Thomas

We develop new and precise geometric descriptions of the conjugacy class $[x]$ and coconjugation set $C (x, x^{'}) = {y \in W ∣ y x y^{- 1} = x^{'}}$ for all…

math.GR2024

The geometry of conjugation in Euclidean isometry groups

Elizabeth Milićević, Petra Schwer, Anne Thomas

We describe the geometry of conjugation within any split subgroup $H$ of the full isometry group $G$ of $n$ -dimensional Euclidean space. We prove that for any $h \in H$ , the conjug…

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…