Grothendieck polynomials and the Boson-Fermion correspondence
Combinatorics
2020-10-20 v4 K-Theory and Homology
Abstract
In this paper we study algebraic and combinatorial properties of Grothendieck polynomials and their dual polynomials by means of the Boson-Fermion correspondence. We show that these symmetric functions can be expressed as a vacuum expectation value of some operator that is written in terms of free-fermions. By using the free-fermionic expressions, we obtain alternative proofs of determinantal formulas and Pieri type formulas.
Keywords
Cite
@article{arxiv.1905.07692,
title = {Grothendieck polynomials and the Boson-Fermion correspondence},
author = {Shinsuke Iwao},
journal= {arXiv preprint arXiv:1905.07692},
year = {2020}
}
Comments
19 pages