Comments on: GRTEALA 1: Review of the situation http://trdunlap2.wordpress.com/2009/07/08/grteala-1-review-of-the-situation/ 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/2009/07/08/grteala-1-review-of-the-situation/#comment-148 trdunlap2 Wed, 08 Jul 2009 18:50:18 +0000 http://trdunlap2.wordpress.com/2009/07/08/grteala-1-review-of-the-situation/#comment-148 I'll list the following with more detail in a future post For $latex L\mathfrak{sl}_2$: - Plucker relations are a wash so far. - My work has been assuming the Induction works - I believe reduction to dim-2 will still work - There will undoubtedly me infinitely many primitives - MV-polytopes won't uniquely factor into primitives without introduction of non-MV-polytopes: a sort of "imaginary" cluster. But Kamnitzer was surprised I would seek unique factorization anyway. - I'm excited to check the networks of non-overlapping cords. There is no proof (that I know of) of their correlation for finite type, only an observation. But would interest me if such a pattern would continue to hold in the affine case. I’ll list the following with more detail in a future post

For L\mathfrak{sl}_2:
- Plucker relations are a wash so far.
- My work has been assuming the Induction works
- I believe reduction to dim-2 will still work
- There will undoubtedly me infinitely many primitives
- MV-polytopes won’t uniquely factor into primitives without introduction of non-MV-polytopes: a sort of “imaginary” cluster. But Kamnitzer was surprised I would seek unique factorization anyway.
- I’m excited to check the networks of non-overlapping cords. There is no proof (that I know of) of their correlation for finite type, only an observation. But would interest me if such a pattern would continue to hold in the affine case.

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