English

A recursive method for the oddness of the number of set-valued tableaux

Combinatorics 2026-02-26 v4

Abstract

Set-valued tableaux, introduced by Buch to express the tableaux-sum formula for stable Grothendieck polynomials, generalize semistandard tableaux. We provide a new recursive proof that the number of set-valued tableaux of a given shape is odd.

Keywords

Cite

@article{arxiv.2305.06740,
  title  = {A recursive method for the oddness of the number of set-valued tableaux},
  author = {Taikei Fujii and Takahiko Nobukawa and Tatsushi Shimazaki},
  journal= {arXiv preprint arXiv:2305.06740},
  year   = {2026}
}

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21 pages