Hopf quivers and Nichols algebras in positive characteristic

Cibils, Claude; Lauve, Aaron; Witherspoon, Sarah

doi:10.1090/S0002-9939-09-10001-1

Hopf quivers and Nichols algebras in positive characteristic
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by Claude Cibils, Aaron Lauve and Sarah Witherspoon PDF

Proc. Amer. Math. Soc. 137 (2009), 4029-4041 Request permission

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.

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