On pointed Hopf algebras and Kaplansky's 10th conjecture

Mathematics – Quantum Algebra

Scientific paper

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19 pages, latex. This is an extended revision which will appear in J. Alg

Scientific paper

In this paper we construct and study two new families of finite dimensional pointed Hopf algebras which generalize Radford's families. We show that over any infinite field which contains a primitive nth root of unity, one of the families contains infinitely many non-isomorphic Hopf algebras of any dimension of the form Nn^2, where 2

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