Antichains of positive roots and Heaviside functions

Details Antichains of positive roots and Heaviside functions Antichains of positive roots and Heaviside functions

2003-03-18

arxiv.org/abs/math/0303220v1

Mathematics

Combinatorics

7 pages, 2 figures

Scientific paper

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.

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