Corpus ID: 14441339

Factorial Schur functions and the Yang-Baxter equation

@article{Bump2011FactorialSF,
  title={Factorial Schur functions and the Yang-Baxter equation},
  author={Daniel Bump and Peter J. McNamara and Maki Nakasuji},
  journal={arXiv: Combinatorics},
  year={2011}
}
  • Daniel Bump, Peter J. McNamara, Maki Nakasuji
  • Published 2011
  • Mathematics, Physics
  • arXiv: Combinatorics
  • Factorial Schur functions are generalizations of Schur functions that have, in addition to the usual variables, a second family of "shift" parameters. We show that a factorial Schur function times a deformation of the Weyl denominator may be expressed as the partition function of a particular statistical-mechanical system (six vertex model). The proof is based on the Yang-Baxter equation. There is a deformation parameter $t$ which may be specialized in different ways. If $t=-1$, then we recover… CONTINUE READING

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