DOI: 10.5802/ambp.441 ISSN: 1259-1734

On the representations of a family of pointed Hopf algebras

AgustĂ­n GarcĂ­a Iglesias, Alfio Antonio Rodriguez

We study the representations of a family of pointed Hopf algebras 𝒜 λ , μ which arise as 2-parameter deformations of the Fomin–Kirillov algebra ℱ𝒦 3 . We classify the simple modules and their projective covers. We observe that our results are fundamentally different according to the shape of the Hopf cocycle involved in the deformation.

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