An embedding of the skein action on set partitions into the skein action on matchings

DOI10.37236/11578arXiv2209.00837OpenAlexW4391258548WikidataQ129291253 ScholiaQ129291253MaRDI QIDQ6117422

Jesse Kim

Publication date: 19 February 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.00837

zbMATH Keywords

rotationsymmetric groupcyclic sievingnoncrossing partitionpromotionskein relation

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of representation theory (05E10) Symmetric groups (20B30) Group actions on combinatorial structures (05E18)

Cites Work

• Unnamed Item
• A skein action of the symmetric group on noncrossing partitions
• Index for subfactors
• Regular elements of finite reflection groups
• The cyclic sieving phenomenon
• Spiders for rank 2 Lie algebras
• A web basis of invariant polynomials from noncrossing partitions
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• Set Partitions, Fermions, and Skein Relations