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arXiv · 2106.10143

On finite GK-dimensional Nichols algebras of diagonal type: rank 3 and Cartan type

Iván Angiono·Agustín García Iglesias
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Abstract

This paper contributes to the proof of the conjecture posed in arXiv:1606.02521, stating that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has finite (generalized) root system. We prove the conjecture assuming that the rank is 3 or that the braiding is of Cartan type.

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Iván Angiono, Agustín García Iglesias. 2021-06-18. On finite GK-dimensional Nichols algebras of diagonal type: rank 3 and Cartan type. https://arxiv.org/abs/2106.10143

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