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Sur les representations de Krammer generiques | | Ivan Marin
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7 Apr 2005 | | Subject: | Representation Theory; Group Theory | math.RT math.GR | | Abstract: | We define a representation of the Artin groups of type ADE by monodromy of generalized KZ-systems which is shown to be isomorphic to the generalized Krammer representations originally defined by A.M. Cohen and D. Wales. It follows that all pure Artin group of spherical type are residually torsion-free nilpotent, hence (bi-)orderable. We also deduce from this that these irreducible representations are Zariski-dense in the corresponding general linear group, and discuss unitarity properties. As group-theoretical applications of the Zariski density of these faithful representations we give proofs of non-decomposition in direct products of several subgroups of Artin groups. | | Source: | arXiv, math.RT/0504143 | | Services: | Forum | Review | PDF | Favorites | |
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