Gröbner bases for coloured operads

Vladislav Kharitonov, Anton Khoroshkin

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)203-241
Number of pages39
JournalAnnali di Matematica Pura ed Applicata
Issue number1
StatePublished - Feb 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2021, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature.


  • Coloured operads
  • Grobner bases
  • Lie-Rinnehart algebras

ASJC Scopus subject areas

  • Applied Mathematics


Dive into the research topics of 'Gröbner bases for coloured operads'. Together they form a unique fingerprint.

Cite this