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Actions and irreducible representations of the mapping class group

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arxiv math/9905182 v1 pith:HHZ3D2YR submitted 1999-05-28 math.GT math.GR

L. Paris This is my paper · ORCID
classification math.GTmath.GR
keywords classgroupmappingactionirreduciblerepresentationsactionsburger
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We prove in this paper that the action of the mapping class group on the complex of curves has noncommensurable stabilizers. Following a method due to Burger and de la Harpe, this action leads to constructions of irreducible unitary representations of the mapping class group.

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