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arxiv: 0804.2602 · v4 · submitted 2008-04-16 · 🧮 math.QA

On Pointed Hopf Algebras with Weyl Groups of exceptional type

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keywords typealgebrasdimensionalexceptionalgroupshopfpointedweyl
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All -1-type pointed Hopf algebras and central quantum linear spaces with Weyl groups of exceptional type are found. It is proved that every non -1-type pointed Hopf algebra with real $G(H)$ is infinite dimensional and every central quantum linear space over finite group is finite dimensional. It is proved that except a few cases Nichols algebras of reducible Yetter-Drinfeld modules over Weyl groups of exceptional type are infinite dimensional.

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