On pointed Hopf algebras and Kaplansky's 10th conjecture

Details On pointed Hopf algebras and Kaplansky's 10th conjecture On pointed Hopf algebras and Kaplansky's 10th conjecture

1998-01-28

arxiv.org/abs/math/9801130v2

Mathematics

Quantum Algebra

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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