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arXiv · 1607.07857

Liftings of Nichols algebras of diagonal type III. Cartan type $G_2$

Agustín García Iglesias·João Matheus Jury Giraldi
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Abstract

We complete the classification of Hopf algebras whose infinitesimal braiding is a principal Yetter-Drinfeld realization of a braided vector space of Cartan type $G_2$ over a cosemisimple Hopf algebra. We develop a general formula for a class of liftings in which the quantum Serre relations hold. We give a detailed explanation of the procedure for finding the relations, based on the recent work of Andruskiewitsch, Angiono and Rossi Bertone.

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Agustín García Iglesias, João Matheus Jury Giraldi. 2016-07-26. Liftings of Nichols algebras of diagonal type III. Cartan type $G_2$. https://doi.org/10.1016/j.jalgebra.2017.01.037

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