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arXiv · 1003.3970

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

Christopher Manon
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Abstract

We give another proof that $m$-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 $m$-dissimilarity vectors to the representation theory of $SL_m.$

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BibTeXRIS

Christopher Manon. 2010-03-21. The $m-$dissimilarity map and representation theory of $SL_m$. https://doi.org/10.1007/s10801-010-0241-9

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