Modular Classes of Lie Groupoid Representations up to Homotopy

Symmetry Integrability and Geometry-Methods and Applications

article

Rajan Amit Mehta¹ 

[1] Department of Mathematics & Statistics, Smith College, 44 College Lane

关键词: Lie groupoid;    representation up to homotopy;    modular class;   

DOI  :  10.3842/SIGMA.2015.058

来源: National Academy of Science of Ukraine

【 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''.

【 授权许可】

Unknown