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

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  • March 20, 2019
Creator
  • Schneider, Keith
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Abstract
  • 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 how that case extends to cases C and D.
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  • In Copyright
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  • "... in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Mathematics."
Advisor
  • Cherednik, Ivan
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Place of publication
  • Chapel Hill, NC
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  • Open access
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