Gr\"obner Bases for Coloured Operads
Category Theory
2020-08-13 v1 Algebraic Topology
Quantum Algebra
Rings and Algebras
Abstract
In this work we provide a definition of a coloured operad as a monoid in some monoidal category, and develop the machinery of Gr\"obner bases for coloured operads. Among the examples for which we show the existance of a quadratic Gr\"obner basis we consider the seminal Lie-Rinehart operad whose algebras include pairs (functions, vector fields).
Keywords
Cite
@article{arxiv.2008.05295,
title = {Gr\"obner Bases for Coloured Operads},
author = {Vladislav Kharitonov and Anton Khoroshkin},
journal= {arXiv preprint arXiv:2008.05295},
year = {2020}
}