Combinatorial study of the Dellac configurations and the q-extended normalized median Genocchi numbers
Combinatorics
2014-02-11 v1
Abstract
In two recent papers (\textit{Mathematical Research Letters,18(6):1163--1178,2011} and \textit{European J. Combin.,33(8):1913--1918,2012}), Feigin proved that the Poincar\'e polynomials of the degenerate flag varieties have a combinatorial interpretation through the Dellac configurations, and related them to the -extended normalized median Genocchi numbers introduced by Han and Zeng, mainly by geometric considerations. In this paper, we give combinatorial proofs of these results by constructing statistic-preserving bijections between the Dellac configurations and two other combinatorial models of .
Keywords
Cite
@article{arxiv.1402.1827,
title = {Combinatorial study of the Dellac configurations and the q-extended normalized median Genocchi numbers},
author = {Ange Bigeni},
journal= {arXiv preprint arXiv:1402.1827},
year = {2014}
}