Enveloping operads and bicoloured noncrossing configurations
Combinatorics
2014-10-14 v2 Quantum Algebra
Abstract
An operad structure on certain bicoloured noncrossing configurations in regular polygons is studied. Motivated by this study, a general functorial construction of enveloping operad, with input a coloured operad and output an operad, is presented. The operad of noncrossing configurations is shown to be the enveloping operad of a coloured operad of bubbles. Several suboperads are also investigated, and described by generators and relations.
Keywords
Cite
@article{arxiv.1310.4521,
title = {Enveloping operads and bicoloured noncrossing configurations},
author = {Frédéric Chapoton and Samuele Giraudo},
journal= {arXiv preprint arXiv:1310.4521},
year = {2014}
}
Comments
27 pages