The number of the set-valued tableaux is odd

The number of the set-valued tableaux is odd

The set-valued tableaux are combinatorial objects introduced by Buch for expressing the tableaux-sum formula of the stable Grothendieck polynomials. Not much is known about the set-valued tableaux compared to the usual case of the semi-standard tableaux. In this paper, we show the odd property for t...

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Hauptverfasser: Fujii, Taikei, Nobukawa, Takahiko, Shimazaki, Tatsushi
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
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Zusammenfassung:The set-valued tableaux are combinatorial objects introduced by Buch for expressing the tableaux-sum formula of the stable Grothendieck polynomials. Not much is known about the set-valued tableaux compared to the usual case of the semi-standard tableaux. In this paper, we show the odd property for the number of the set-valued tableaux.
DOI:10.48550/arxiv.2305.06740