Hopf quivers and Nichols algebras in positive characteristic Academic Article uri icon


  • 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.

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Cibils, C., Lauve, A., & Witherspoon, S.

citation count

  • 18

complete list of authors

  • Cibils, Claude||Lauve, Aaron||Witherspoon, Sarah

publication date

  • July 2009