Journal of Algebraic Combinatorics

, Volume 33, Issue 2, pp 199–213

Dissimilarity maps on trees and the representation theory of SL m (ℂ)

Authors

    • Department of MathematicsUniversity of California, Berkeley
Open AccessArticle

DOI: 10.1007/s10801-010-0241-9

Cite this article as:
Manon, C. J Algebr Comb (2011) 33: 199. doi:10.1007/s10801-010-0241-9

Abstract

We prove that m-dissimilarity vectors of weighted trees are points on the tropical Grassmannian, as conjecture by Cools in response to a question of Sturmfels and Pachter. We accomplish this by relating m-dissimilarity vectors to the representation theory of SL m (ℂ).

Keywords

Tropical geometry Representation theory

Copyright information

© The Author(s) 2010