Gröbner bases for coloured operads

Vladislav Kharitonov; Anton Khoroshkin

doi:10.1007/s10231-021-01114-5

Gröbner bases for coloured operads

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)	203-241
Number of pages	39
Journal	Annali di Matematica Pura ed Applicata
Volume	201
Issue number	1
DOIs	https://doi.org/10.1007/s10231-021-01114-5
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

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10.1007/s10231-021-01114-5

Cite this

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Gröbner bases for coloured operads

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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