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Mészáros–St. Dizier–Tanjaya upper-bound conjecture for dual flagged Weyl characters
Mészáros–St. Dizier–Tanjaya conjecture. For a general diagram $D$ , $\chi_D(x)$ reaches the upper bound if and only if $D$ avoids a certain single subdiagram.
Conjectureopencombinatorics dual-characters flagged-weyl-modulesarXiv posted 2 days ago

Mészáros–St. Dizier–Tanjaya upper-bound conjecture for dual flagged Weyl characters