Vol. 256, No. 1, 2012

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On slim double Lie groupoids

Nicolas Andruskiewitsch, Jesus Ochoa Arango and Alejandro Tiraboschi

Vol. 256 (2012), No. 1, 1–17
Abstract

We prove that every slim double Lie groupoid with proper core action is completely determined by a factorization of a canonically defined “diagonal” Lie groupoid.

Keywords
Lie groupoid, core groupoid, proper action, double groupoid, core action, groupoid diagram
Mathematical Subject Classification 2010
Primary: 18D05, 20L05, 22A22
Milestones
Received: 7 March 2011
Revised: 13 September 2011
Accepted: 27 September 2011
Published: 6 May 2012
Authors
Nicolas Andruskiewitsch
Facultad de Matemáticas Astronomía y Física
Universidad Nacional de Córdoba
FaMAF-CIEM (CONICET)
Medina Allende s/n, Ciudad Universitaria
5000 Córdoba
Argentina
http://www.famaf.unc.edu.ar/~andrus/
Jesus Ochoa Arango
Departamento de Matemáticas
Pontificia Universidad Javeriana
Cra. 7 No. 43-82 - Edificio Carlos Ortíz
Bogotá
Colombia
Alejandro Tiraboschi
Facultad de Matemáticas Astronomía y Física
Universidad Nacional de Córdoba
FaMAF-CIEM (CONICET)
Medina Allende s/n, Ciudad Universitaria
5000 Córdoba
Argentina