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arXiv · 1907.03992

Word operads and admissible orderings

Vladimir Dotsenko
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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 Gröbner basis of the Poisson operad.

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BibTeXRIS

Vladimir Dotsenko. 2019-07-09. Word operads and admissible orderings. https://doi.org/10.1007/s10485-020-09591-0

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