Title

Hopf Quivers and Nichols Algebras in Positive Characteristic

Authors

Claude Cibils
Aaron Lauve, Loyola University ChicagoFollow
Sarah Witherspoon

Document Type

Article

Publication Date

2009

Publication Title

Proceedings of the American Mathematical Society

Abstract

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.

Comments

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.

Recommended Citation

Cibils, C, A Lauve, and S Witherspoon. "Hopf Quivers and Nichols Algebras in Positive Characteristic." Proceedings of the American Mathematical Society 2009.

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Copyright Statement

© The American Mathematical Society, 2009.