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arXiv · 2008.05295

Gröbner Bases for Coloured Operads

Vladislav Kharitonov·Anton Khoroshkin
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Abstract

In this work we provide a definition of a coloured operad as a monoid in some monoidal category, and develop the machinery of Gröbner bases for coloured operads. Among the examples for which we show the existance of a quadratic Gröbner basis we consider the seminal Lie-Rinehart operad whose algebras include pairs (functions, vector fields).

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BibTeXRIS

Vladislav Kharitonov, Anton Khoroshkin. 2020-08-06. Gröbner Bases for Coloured Operads. https://arxiv.org/abs/2008.05295

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