Free-fermions and skew stable Grothendieck polynomials

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3 Citations (Scopus)

Abstract

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
Pages (from-to)493-526
Number of pages34
JournalJournal of Algebraic Combinatorics
Volume56
Issue number2
DOIs
Publication statusPublished - 2022 Sept
Externally publishedYes

Keywords

  • 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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