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Proceedings of the American Mathematical Society


We apply a combinatorial formula of the first author and Rosso, for products in Hopf quiver algebras, to determine the structure of Nichols algebras. We illustrate this technique by explicitly constructing new examples of Nichols algebras in positive characteristic. We further describe the corresponding Radford biproducts and some liftings of these biproducts, which are new finite dimensional pointed Hopf algebras.


Author Posting. © The American Mathematical Society, 2009. This article is posted here by permission of the American Mathematical Society for personal use, not for redistribution. The article was published in Proceedings of the American Mathematical Society, 2009.

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