Modular Classes of Lie Groupoid Representations up to Homotopy

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Author: Mehta, R.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147129
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Modular Classes of Lie Groupoid Representations up to Homotopy / R.A. Mehta // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 14 назв. — англ.

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 dif...