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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…
math.AG2015
Dimensions of affine Deligne-Lusztig varieties: a new approach via labeled folded alcove walks and root operators
Elizabeth Milićević, Petra Schwer, Anne Thomas
Let G be a reductive group over the field F=k((t)), where k is an algebraic closure of a finite field, and let W be the (extended) affine Weyl group of G. The associated affine Del…