EXAMPLES of FINITE-DIMENSIONAL POINTED HOPF ALGEBRAS in CHARACTERISTIC 2

ANDRUSKIEWITSCH, NICOLÁS; FLÔRES, DAIANA; BAGIO, DIRCEU; FLORA, SARADIA DELLA

GLASGOW MATHEMATICAL JOURNAL

CAMBRIDGE UNIV PRESS

Año: 2020

0017-0895

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.