On the combinatorics of minimal non-gatherable triples in classical affine root systems

Minimal non-gatherable triples are combinatorially interesting objects found in the inversion sets of words in some affinne and non-afiine Weyl groups. This dissertation continues the work of our two papers with professor Cherednik. The goal of this paper is the complete description of minimal non-gatherable triangle triples in the lambda-sequences for the ane classical root systems. After a brief introduction, we will accomplish this by describing all such objects in the twisted B-case and showing...
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