Representations of Homotopy Lie-Rinehart Algebras

被引：23

作者：

Vitagliano, Luca ^{[1
,2
]}

机构：

[1] Univ Salerno, DipMat, I-84084 Fisciano, SA, Italy

[2] GC Salerno, Ist Nazl Fis Nucl, I-84084 Fisciano, SA, Italy

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2015年 / 158卷 / 01期

关键词：

GERSTENHABER ALGEBRAS; COHOMOLOGY; BRACKETS; DEFORMATIONS; CATEGORY;

D O I：

10.1017/S0305004114000541

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

I propose a definition of left/right connection along a strong homotopy Lie-Rinehart algebra. This allows me to generalise simultaneously representations up to homotopy of Lie algebroids and actions of L-infinity algebras on graded manifolds. I also discuss the Schouten-Nijenhuis calculus associated to strong homotopy Lie-Rinehart connections.

引用

页码：155 / 191

页数：37

共 52 条

[1] Representations up to homotopy of Lie algebroids [J].