English

The $m-$dissimilarity map and representation theory of $SL_m$

Algebraic Geometry 2016-06-01 v2 Representation Theory

Abstract

We give another proof that mm-dissimilarity vectors of weighted trees are points on the tropical Grassmanian, as conjectured by Cools, and proved by Giraldo in response to a question of Sturmfels and Pachter. We accomplish this by relating mm-dissimilarity vectors to the representation theory of SLm.SL_m.

Keywords

Cite

@article{arxiv.1003.3970,
  title  = {The $m-$dissimilarity map and representation theory of $SL_m$},
  author = {Christopher Manon},
  journal= {arXiv preprint arXiv:1003.3970},
  year   = {2016}
}

Comments

11 pages, 8 figures