English

A tropical view on the Bruhat-Tits building of SL and its compactifications

Combinatorics 2009-05-21 v1 Algebraic Geometry

Abstract

We describe the stabilizers of points in the Bruhat-Tits building of the group SL with tropical geometry. There are several compactifications of this building associated to algebraic representations of SL. We show that the fans used to compactify apartments in this theory are given by tropical Schur polynomials.

Keywords

Cite

@article{arxiv.0905.3293,
  title  = {A tropical view on the Bruhat-Tits building of SL and its compactifications},
  author = {Annette Werner},
  journal= {arXiv preprint arXiv:0905.3293},
  year   = {2009}
}