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

Christopher Manon

doi:10.1007/s10801-010-0241-9

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

Christopher Manon

Mathematics

Producción científica: Article › revisión exhaustiva

9 Citas (Scopus)

Resumen

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).

Idioma original	English
Páginas (desde-hasta)	199-213
Número de páginas	15
Publicación	Journal of Algebraic Combinatorics
Volumen	33
N.º	2
DOI	https://doi.org/10.1007/s10801-010-0241-9
Estado	Published - mar 2011

Nota bibliográfica

Funding Information:
This work was supported by the NSF fellowship DMS-0902710.

Financiación

This work was supported by the NSF fellowship DMS-0902710.

Financiadores	Número del financiador
National Science Foundation Arctic Social Science Program	DMS-0902710
Directorate for Mathematical and Physical Sciences	0902710

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

Acceder al documento

10.1007/s10801-010-0241-9

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