20 citations · 67 across the 25 of their papers we have counts for
Showing math.RTShow all
3 papers · 1 filter
math.RT2021
Shadows in the wild -- folded galleries and their applications
Petra Schwer
This survey is about combinatorial objects related to reflection groups and their applications in representation theory and arithmetic geometry. Coxeter groups and folded galleries…
math.RT2019
A gallery model for affine flag varieties via chimney retractions
Elizabeth Milićević, Yusra Naqvi, Petra Schwer +1
This paper provides a unified combinatorial framework to study orbits in certain affine flag varieties via the associated Bruhat-Tits buildings. We first formulate, for arbitrary a…
math.RT2015
Root operators, root groups and retractions
Petra Schwer
We prove that the Gaussent--Littelmann root operators on galleries can be expressed purely in terms of retractions of a (Bruhat-Tits) building. In addition we establish a connectio…