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Annihilator ideals of indecomposable modules of finite-dimensional pointed Hopf algebras of rank one

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arxiv 2205.14603 v2 pith:UM7DIZIQ submitted 2022-05-29 math.QA

Annihilator ideals of indecomposable modules of finite-dimensional pointed Hopf algebras of rank one

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keywords finite-dimensionalhopfidealspointedrankalgebraannihilatorindecomposable
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Let H be a finite-dimensional pointed Hopf algebra of rank one over an algebraically closed field of characteristic zero. In this paper we describe all annihilator ideals of indecomposable H-modules by generators. In particular, we give the classification of all ideals of finite-dimensional pointed Hopf algebra of rank one of nilpotent type over Klein 4-group.

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