Grobner bases for coloured operads

被引：1

作者：

Kharitonov, Vladislav ^{[1
]}

Khoroshkin, Anton ^{[1
,2
]}

机构：

[1] Natl Res Univ Higher Sch Econ, 20 Myasnitskaya St, Moscow 101000, Russia

[2] Inst Theoret & Expt Phys, 25 Bolshaya Cheremushkinskaya, Moscow 117259, Russia

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2022年 / 201卷 / 01期

关键词：

Coloured operads; Grobner bases; Lie-Rinnehart algebras; ALGEBRAS;

D O I：

10.1007/s10231-021-01114-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we develop the machinery of Grobner 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 Grobner basis, we consider the seminal Lie-Rinehart operad whose algebras include pairs (functions, vector fields).

引用

页码：203 / 241

页数：39

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