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arXiv · 2005.08043

Examples of finite-dimensional pointed Hopf algebras in characteristic $2$

Nicolás Andruskiewitsch·Dirceu Bagio·Saradia Della Flora·Daiana Flôres
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Abstract

We present new examples of finite-dimensional Nichols algebra over fields of characteristic 2 starting from braided vector spaces that are not of diagonal type, admit realizations as Yetter-Drinfeld modules over finite abelian groups and are analogous to braidings over fields of odd characteristic with finite-dimensional Nichols algebras presented in arXiv:1905.03074. As these last ones, they are related to the Nichols algebras of finite Gelfand-Kirillov dimension in characteristic 0 described in arXiv:1606.02521. New finite-dimensional pointed Hopf algebras over fields of characteristic 2 are obtained by bosonization with group algebras of suitable finite abelian groups.

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Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora, Daiana Flôres. 2020-11-14. Examples of finite-dimensional pointed Hopf algebras in characteristic $2$. https://doi.org/10.1017/s0017089520000579

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