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arXiv · 1004.3312

Pointed Hopf algebras with standard braiding are generated in degree one

Iván Angiono·Agustín García Iglesias
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Abstract

We show that any finite-dimensional pointed Hopf algebra over an abelian group $Γ$ such that its infinitesimal braiding is of standard type is generated by group-like and skew-primitive elements. This fact agrees with the long-standing conjecture by Andruskiewitsch and Schneider. We also show that the quantum Serre relations hold in any coradically graded pointed Hopf algebra over $Γ$ of finite dimension and determine how these relations are lifted in the standard case.

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Iván Angiono, Agustín García Iglesias. 2010-04-19. Pointed Hopf algebras with standard braiding are generated in degree one. https://arxiv.org/abs/1004.3312

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