Abstract
In this work, we develop the machinery of Gröbner bases for coloured operads, which allows us to establish a useful criterion of Koszulness of a coloured operad. Among the examples for which we show the existence of a quadratic Gröbner basis, we consider the seminal Lie-Rinehart operad whose algebras include pairs (functions, vector fields).
Original language | English |
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Pages (from-to) | 203-241 |
Number of pages | 39 |
Journal | Annali di Matematica Pura ed Applicata |
Volume | 201 |
Issue number | 1 |
DOIs | |
State | Published - Feb 2022 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2021, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- Coloured operads
- Grobner bases
- Lie-Rinnehart algebras
ASJC Scopus subject areas
- Applied Mathematics