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
收藏
页码：203 / 241
页数：39
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