Grothendieck polynomials and the boson-fermion correspondence

Shinsuke Iwao

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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
Volume3
Issue number5
DOIs
Publication statusPublished - 2020
Externally publishedYes

Keywords

  • Boson-fermion correspondence
  • Symmetric Grothendieck polynomials

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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