Examples of finite-dimensional pointed Hopf algebras in characteristic 2

Abstract

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.Fil: Andruskiewitsch, Nicolas. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Bagio, Dirceu. Universidade Federal de Santa Maria; BrasilFil: Flora, Saradia Della. Universidade Federal de Santa Maria; BrasilFil: Flôres, Daiana. Universidade Federal de Santa Maria; Brasi

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