Grothendieck polynomials and the boson-fermion correspondence

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6 Citations (Scopus)


In this paper we study algebraic and combinatorial properties of symmetric 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.

Original languageEnglish
Pages (from-to)1023-1040
Number of pages18
JournalAlgebraic Combinatorics
Issue number5
Publication statusPublished - 2020
Externally publishedYes


  • Boson-fermion correspondence
  • Symmetric Grothendieck polynomials

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics


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