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

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

2009-05-20

arxiv.org/abs/0905.3293v1

Mathematics

Combinatorics

Scientific paper

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.

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