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".
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页数：10
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