Free-fermions and skew stable Grothendieck polynomials

Shinsuke Iwao

Research output: Contribution to journalArticlepeer-review


We present a free-fermionic presentation of the skew (dual) stable Grothendieck polynomials. A direct proof of their determinantal formulas is given from this presentation. We also introduce a combinatorial method to describe the multiplication map and its adjoint over the space of skew (dual) stable Grothendieck polynomials. This calculation requires the use of noncommutative supersymmetric Schur functions.

Original languageEnglish
JournalJournal of Algebraic Combinatorics
Publication statusAccepted/In press - 2022
Externally publishedYes


  • Boson–fermion correspondence
  • Determinantal formula
  • Noncommutative supersymmetric Schur function
  • Skew stable Grothendieck polynomial

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics


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