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arXiv · 2002.11087

Finite GK-dimensional pre-Nichols algebras of quantum linear spaces and of Cartan type

Nicolás Andruskiewitsch·Guillermo Sanmarco
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Abstract

We study pre-Nichols algebras of quantum linear spaces and of Cartan type with finite GK-dimension. We prove that out of a short list of exceptions involving only roots of order 2, 3, 4, 6, any such pre-Nichols algebra is a quotient of the distinguished pre-Nichols algebra introduced by Angiono generalizing the De Concini-Procesi quantum groups. There are two new examples, one of which can be thought of as $G_2$ at a third root of one.

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Nicolás Andruskiewitsch, Guillermo Sanmarco. 2020-02-25. Finite GK-dimensional pre-Nichols algebras of quantum linear spaces and of Cartan type. https://doi.org/10.1090/btran%2F66

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