English

Coincidences among skew dual stable Grothendieck polynomials

Combinatorics 2018-03-16 v1

Abstract

The question of when two skew Young diagrams produce the same skew Schur function has been well-studied. We investigate the same question in the case of stable Grothendieck polynomials, which are the K-theoretic analogues of the Schur functions. We prove a necessary condition for two skew shapes to give rise to the same dual stable Grothendieck polynomial. We also provide a necessary and sufficient condition in the case where the two skew shapes are ribbons.

Keywords

Cite

@article{arxiv.1609.06171,
  title  = {Coincidences among skew dual stable Grothendieck polynomials},
  author = {Ethan Alwaise and Shuli Chen and Alexander Clifton and Rebecca Patrias and Rohil Prasad and Madeline Shinners and Albert Zheng},
  journal= {arXiv preprint arXiv:1609.06171},
  year   = {2018}
}

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20 pages