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arXiv · 1905.04285

Pointed Hopf algebras over non abelian groups with decomposable braidings, I

Iván Angiono·Guillermo Sanmarco
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Abstract

We describe all finite-dimensional pointed Hopf algebras whose infinitesimal braiding is a fixed Yetter-Drinfeld module decomposed as the sum of two simple objects: a point and the one of transpositions of the symmetric group in three letters. We give a presentation by generators and relations of the corresponding Nichols algebra and show that Andruskiewitsch-Schneider Conjecture holds for this kind of pointed Hopf algebras.

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Iván Angiono, Guillermo Sanmarco. 2019-05-10. Pointed Hopf algebras over non abelian groups with decomposable braidings, I. https://doi.org/10.1016/j.jalgebra.2019.11.040

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