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Another example
The purple box is one polytope colored two different ways. In general a polytope is colored according to the following scheme: Light blue dots are from the previous polytope. The red dot is the … more →
Tom's Math Weblog
Another example
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trdunlap2 wrote 1 year ago: The purple box is one polytope colored two different ways. In general a polytope is colored accordin … more →
Lsl2 MV-Polytopes: Inductive Approach
trdunlap2 wrote 1 year ago: The following picture has the first few levels of a crystal, like those discussed in the 2008 Kamnit … more →
Non Parabola Verma module
trdunlap2 wrote 1 year ago: Probably nothing important, just a calculation I was doing last night. In the Verma module where act … more →
Some explanation for recent matrix rank calculations
trdunlap2 wrote 1 year ago: Let Where is the killing form:, and . To abbreviate take the convention: (similarly for ). (Don … more →
Homework
trdunlap2 wrote 1 year ago: To familiarize myself more with the distinction between roots and coroots, I’ve been given a h … more →
Calculations: Extended Loop Lie Algebra
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trdunlap2 wrote 1 year ago: Let be a Lie group. We are interested in the infinite dimensional Lie group where composition is don … more →
Intersection (Co)homology
trdunlap2 wrote 1 year ago: Part 1: About this post This post to be updated throughout the day today, and finished by this eveni … more →
Some calculations
trdunlap2 wrote 1 year ago: Sorry if this is boring to those who hate calculations, or a spoiler for those who need to do them ( … more →
D_\gamma for LSL_3 Part one: Lifting the Weyl group
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trdunlap2 wrote 1 year ago: Let me recap a bit. Let where w is an element of the Weyl group and is a fundamental weight. Before … more →
D_γ for SL_4
trdunlap2 wrote 1 year ago: The data for come in two sets of three, one set for each fundamental weight. For a fixed set of valu … more →
More on D_\gamma
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trdunlap2 wrote 1 year ago: Today and tomorrow I’ll post some pictures illustrating more about the functions on my “ … more →
Sp_4 weight diagrams
trdunlap2 wrote 2 years ago: Woot! I understand the weight system. My filler material this week will be to make tensor calculatio … more →
Polytope-to-Cycle conversion
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trdunlap2 wrote 2 years ago: As for examples in I’ll consider Weyl polytopes. This should be review for me, so its a good p … more →
SL_3 MV-polytopes
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trdunlap2 wrote 2 years ago: Kamnitzer’s (BZ’s?) Tropical Plücker relations for only imply one thing: that the distan … more →
Polytope-to-Cycle conversion
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trdunlap2 wrote 2 years ago: Kamnitzer specifies a formula for converting a polytope, given either by weights or by collections o … more →
