English

Atoms and charge in type $C_2$

Representation Theory 2023-03-29 v1 Algebraic Geometry Combinatorics

Abstract

We construct atomic decompositions for crystals of type C2C_{2} and define a charge statistic on them, thus providing positive combinatorial formulas for Kostka-Foulkes polynomials associated to them together with a natural geometric interpretation.

Keywords

Cite

@article{arxiv.2303.15560,
  title  = {Atoms and charge in type $C_2$},
  author = {Leonardo Patimo and Jacinta Torres},
  journal= {arXiv preprint arXiv:2303.15560},
  year   = {2023}
}

Comments

69 pages, comments welcome

R2 v1 2026-06-28T09:36:42.908Z