%0 Journal Article
%T Antichains of positive roots and Heaviside functions
%A Frederic Chapoton
%J Mathematics
%D 2003
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0303220v1