Published online by Cambridge University Press: 01 December 2020
We present new examples of finite-dimensional Nichols algebras over fields of characteristic 2 from braided vector spaces that are not of diagonal type, admit realizations as Yetter–Drinfeld modules over finite abelian groups, and are analogous to Nichols algebras of finite Gelfand–Kirillov dimension in characteristic 0. New finite-dimensional pointed Hopf algebras over fields of characteristic 2 are obtained by bosonization with group algebras of suitable finite abelian groups.
This material is based upon work supported by the National Science Foundation under Grant No. DMS-1440140, while N. A. was in residence at the Mathematical Sciences Research Institute in Berkeley, California, in the Spring 2020 semester. The work of N. A. was partially supported by CONICET, Secyt (UNC), and the Alexander von Humboldt Foundation through the Research Group Linkage Programme.
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