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 connection to the root datum at infinity.
Cite this article
Petra Schwer, Root operators, root groups and retractions. J. Comb. Algebra 2 (2018), no. 3, pp. 215–230DOI 10.4171/JCA/2-3-1