Root operators, root groups and retractions
Representation Theory
2018-07-30 v3 Group Theory
Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1509.03146,
title = {Root operators, root groups and retractions},
author = {Petra Schwer},
journal= {arXiv preprint arXiv:1509.03146},
year = {2018}
}
Comments
13 pages, 2 figures, minor corrections, final version, to appear in Journal of Combinatorial Algebra (EMS)