Almost commutative Q-algebras and derived brackets

被引：0

作者：

Bruce, Andrew James ^{[1
]}

机构：

[1] Univ Luxembourg, Math Res Unit, Maison 6,Ave Fonte, L-4364 Esch Sur Alzette, Luxembourg

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2020年 / 14卷 / 02期

关键词：

Noncommutative geometry; almost commutative algebras; Lie algebroids; Q-manifolds; NONCOMMUTATIVE SUPERGEOMETRY; DIFFERENTIAL-CALCULUS; LIE BRACKETS; Q-MANIFOLDS; DEFORMATIONS; GEOMETRY;

D O I：

10.4171/JNCG/377

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of almost commutative Q -algebras and demonstrate how the derived bracket formalism of Kosmann-Schwarzbach generalises to this setting. In particular, we construct 'almost commutative Lie algebroids' following Vaintrob's Q -manifold understanding of classical Lie algebroids. We show that the basic tenets of the theory of Lie algebroids carry over verbatim to the almost commutative world.

引用

页码：681 / 707

页数：27

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