Autor:	Abdelmaksoud, Marwa Ben, Hamdi, Adel
Rok vydání:	2019
Předmět:	Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	We define some generalizations of the classical descent and inversion statistics on signed permutations that arise from the work of Sack and Ulfarsson [20] and called after width-k descents and width-k inversionsof type A in Davis's work [8]. Using the aforementioned new statistics, we derive some new generalizations of Eulerian polynomials of type A, B and D. It should also be noticed that we establish the Gamma-positivity of the "width-k" Eulerian polynomials and we give a combinatorial interpretation of finite sequences associated to these new polynomials using quasisymmetric functions and P-partition in Petersen's work [18]. Comment: 28 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1912.08551 Zobrazit plný text záznamu View this record from Arxiv