2018/12/02 by Athanasiadis, Christos A. · 1 citation
#05A05 #05E05 #05E18 #05E45 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1812.00434
Binomial Eulerian polynomials first appeared in work of Postnikov, Reiner and Williams on the face enumeration of generalized permutohedra. They are γ-positive (in particular, palindromic and unimodal) polynomials which can be interpreted as h-polynomials of certain flag simplicial polytopes and which admit interesting Schur γ-positive symmetric function generalizations. This paper introduces analogues of these polynomials for r-colored permutations with similar properties and uncovers some new instances of equivariant γ-positivity in geometric combinatorics.