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Generalized group actions in a global setting
Authors:Sanja Konjik  Michael Kunzinger
Institution:a Faculty of Agriculture, University of Novi Sad, Trg Dositeja Obradovi?a 8, 21000 Novi Sad, Serbia and Montenegro
b Faculty of Mathematics, University of Vienna, Nordbergstr. 15, A-1090 Wien, Austria
Abstract:We study generalized group actions on differentiable manifolds in the Colombeau framework, extending previous work on flows of generalized vector fields and symmetry group analysis of generalized solutions. As an application, we analyze group invariant generalized functions in this setting.
Keywords:Generalized group actions  Colombeau generalized functions  Group invariance  Symmetry group analysis of generalized solutions
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