Examples of finite-dimensional pointed Hopf algebras in characteristic $2$
Quantum Algebra
2022-08-26 v3
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.
Keywords
Cite
@article{arxiv.2005.08043,
title = {Examples of finite-dimensional pointed Hopf algebras in characteristic $2$},
author = {Nicolás Andruskiewitsch and Dirceu Bagio and Saradia Della Flora and Daiana Flôres},
journal= {arXiv preprint arXiv:2005.08043},
year = {2022}
}
Comments
Final version accepted in Glasg. Math. J