Comments on: A conjecture on the Uniqueness of MV-Polytopes http://trdunlap2.wordpress.com/2009/07/06/a-conjecture-on-the-uniqueness-of-mv-polytopes/ What I'm working on and what I'm finding Wed, 08 Jul 2009 18:50:18 +0000 http://wordpress.com/ hourly 1 By: trdunlap2 http://trdunlap2.wordpress.com/2009/07/06/a-conjecture-on-the-uniqueness-of-mv-polytopes/#comment-147 trdunlap2 Tue, 07 Jul 2009 22:43:09 +0000 http://trdunlap2.wordpress.com/?p=320#comment-147 The conjecture is obviously false as stated because I forgot another restriction. We need a kind of maximality. For example, in the case of $latex \mathfrak{sl}_2\times\mathfrak{sl}_2$ our polytopes may be rectangles (the "right" answer) or line segments -- or a number of other choices all of which consist of subsets. I also may have to assume some version of convexity (subject to condition 1) -- this I can't remember. The conjecture is obviously false as stated because I forgot another restriction. We need a kind of maximality. For example, in the case of \mathfrak{sl}_2\times\mathfrak{sl}_2 our polytopes may be rectangles (the “right” answer) or line segments — or a number of other choices all of which consist of subsets.

I also may have to assume some version of convexity (subject to condition 1) — this I can’t remember.

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