English

Factorial Schur functions via the six vertex model

Combinatorics 2009-11-01 v2

Abstract

For a particular set of Boltzmann weights and a particular boundary condition for the six vertex model in statistical mechanics, we compute explicitly the partition function and show it to be equal to a factorial Schur function, giving a new proof of a theorem of Lascoux.

Keywords

Cite

@article{arxiv.0910.5288,
  title  = {Factorial Schur functions via the six vertex model},
  author = {Peter J. McNamara},
  journal= {arXiv preprint arXiv:0910.5288},
  year   = {2009}
}

Comments

7 pages

R2 v1 2026-06-21T14:04:11.210Z