Antichains of positive roots and Heaviside functions
Combinatorics
2007-05-23 v1
Abstract
The ring of locally-constant integer-valued functions on the dominant chamber of the Shi arrangement is endowed with a filtration and a new basis, compatible with this filtration, is found. This basis is compared to the trivial basis. The ring is given a presentation by generators and relations.
Keywords
Cite
@article{arxiv.math/0303220,
title = {Antichains of positive roots and Heaviside functions},
author = {Frederic Chapoton},
journal= {arXiv preprint arXiv:math/0303220},
year = {2007}
}
Comments
7 pages, 2 figures