The constant term algebra of type $A$: the Structure
Combinatorics
2023-05-04 v3
Abstract
In this paper, we discover a new noncommutative algebra. We refer this algebra as the constant term algebra of type , which is generated by certain constant term operators. We characterize a structural result of this algebra by establishing an explicit basis in terms of certain forests. This algebra arises when we apply the method of the iterated Laurent series to investigate Beck and Pixton's residue computation for the Ehrhart series of the Birkhoff polytope. This algebra seems to be the first structural result in the area of the constant term world since the discovery of the Dyson constant term identity in 1962.
Cite
@article{arxiv.2209.15495,
title = {The constant term algebra of type $A$: the Structure},
author = {Guoce Xin and Chen Zhang and Yue Zhou and Yueming Zhong},
journal= {arXiv preprint arXiv:2209.15495},
year = {2023}
}
Comments
28 pages, 4 figures