English

Commutation classes of double wiring diagrams

Combinatorics 2010-06-08 v1 Representation Theory

Abstract

We describe a new method for computing the graph of commutation classes of double wiring diagrams. Using these methods we compute the graph for five strings or less which allows us to confirm a positivity conjecture of Fomin and Zelevinsky when n is less than five .

Cite

@article{arxiv.1006.1076,
  title  = {Commutation classes of double wiring diagrams},
  author = {Patrick Dukes and Joe Rusinko},
  journal= {arXiv preprint arXiv:1006.1076},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T15:32:27.189Z