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Weyl equivalence for rank 2 Nichols algebras of diagonal type

I. Heckenberger
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Abstract

Yetter--Drinfel'd modules of diagonal type admit an equivalence relation which conjecturally preserves dimension and Gel'fand--Kirillov dimension of the corresponding Nichols algebras. This relation is determined explicitly for all rank 2 Yetter--Drinfeld modules where the Gel'fand--Kirillov dimension is known to be finite. Key Words: Brandt groupoid, Hopf algebra, pseudo-reflections, Weyl group

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I. Heckenberger. 2004-11-29. Weyl equivalence for rank 2 Nichols algebras of diagonal type. https://arxiv.org/abs/math/0411621

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