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Mathematics  2008 

The character tables of centralizers in Weyl Group of $E_8$ I

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Abstract:

To classify the finite dimensional pointed Hopf algebras with Weyl group $G$ of $E_8$, we obtain the representatives of conjugacy classes of $G$ and all character tables of centralizers of these representatives by means of software GAP. In this paper we only list character table 1-- 28.

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