Word operads and admissible orderings
Category Theory
2020-10-15 v1 Combinatorics
K-Theory and Homology
Abstract
We use Giraudo's construction of combinatorial operads from monoids to offer a conceptual explanation of the origins of Hoffbeck's path sequences of shuffle trees, and use it to define new monomial orders of shuffle trees. One such order is utilised to exhibit a quadratic Gr\"obner basis of the Poisson operad.
Keywords
Cite
@article{arxiv.1907.03992,
title = {Word operads and admissible orderings},
author = {Vladimir Dotsenko},
journal= {arXiv preprint arXiv:1907.03992},
year = {2020}
}
Comments
5 pages