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Gamma Vectors of Partitioned Permutohedra
Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato, John Shareshian, Jongbaek Song
Source abstract
We show that -vectors of partitioned permutohedra have nonnegative entries, thereby generalizing a result of Foata and Schützenberger. Our result is closely related to a result of Athanasiadis on the representation of the symmetric group on the cohomology of the permutohedral variety. We explain how to derive Athanasiadis' result from ours and vice versa.
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