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arXiv · 1905.03074

Examples of finite-dimensional pointed Hopf algebras in positive characteristic

Nicolás Andruskiewitsch·Iván Angiono·István Heckenberger
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Abstract

We present new examples of finite-dimensional Nichols algebras over fields of positive characteristic. The corresponding braided vector spaces are not of diagonal type, admit a realization as Yetter-Drinfeld modules over finite abelian groups and are analogous to braidings over fields of characteristic zero whose Nichols algebras have finite Gelfand-Kirillov dimension described in arXiv:1606.02521. We obtain nex examples of finite-dimensional pointed Hopf algebras by bosonization with group algebras of suitable finite abelian groups.

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Nicolás Andruskiewitsch, Iván Angiono, István Heckenberger. 2019-05-07. Examples of finite-dimensional pointed Hopf algebras in positive characteristic. https://arxiv.org/abs/1905.03074

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