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arXiv · 1905.07692

Grothendieck polynomials and the Boson-Fermion correspondence

Shinsuke Iwao
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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.

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Shinsuke Iwao. 2020-04-08. Grothendieck polynomials and the Boson-Fermion correspondence. https://doi.org/10.5802/alco.116

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