Dissimilarity maps on trees and the representation theory of $GL_n(\C)$

Details Dissimilarity maps on trees and the representation theory of $GL_n(\C)$ Dissimilarity maps on trees and the representation theory of $GL_n(\C)$

2011-07-19

arxiv.org/abs/1107.3668v1

Mathematics

Algebraic Geometry

6 figures

Scientific paper

We revisit the representation theory in type $A$used previously to establish that the dissimilarity vectors of phylogenetic trees are points on the tropical Grassmannian variety. We use a different version of this construction to show that the space of phylogenetic trees $K_n$ maps to the tropical varieties of every flag variety of $GL_n(\C).$ Using this map, we interpret the tropicalization of the semistandard tableaux basis of an irreducible representation of $GL_n(\C)$ as combinatorial invariants of phylogenetic trees.

Affiliated with

Also associated with

No associations

Rating

Dissimilarity maps on trees and the representation theory of $GL_n(\C)$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dissimilarity maps on trees and the representation theory of $GL_n(\C)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dissimilarity maps on trees and the representation theory of $GL_n(\C)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-514374