Modular Classes of Lie Groupoid Representations up to Homotopy

被引：3

作者：

Mehta, Rajan Amit ^{[1
]}

机构：

[1] Smith Coll, Dept Math & Stat, Northampton, MA 01063 USA

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2015年 / 11卷

关键词：

Lie groupoid; representation up to homotopy; modular class; ALGEBROIDS; COHOMOLOGY;

D O I：

10.3842/SIGMA.2015.058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a construction of the modular class associated to a representation up to homotopy of a Lie groupoid. In the case of the adjoint representation up to homotopy, this class is the obstruction to the existence of a volume form, in the sense of Weinstein's "The volume of a differentiable stack".

引用

页数：10

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