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arXiv · 1803.08804

On finite GK-dimensional Nichols algebras of diagonal type

Nicolás Andruskiewitsch·Iván Angiono·István Heckenberger
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Abstract

It was conjectured in \texttt{\small arXiv:1606.02521} 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 2. We also show that a Nichols algebra of affine Cartan type has infinite Gelfand-Kirillov dimension.

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BibTeXRIS

Nicolás Andruskiewitsch, Iván Angiono, István Heckenberger. 2018-03-23. On finite GK-dimensional Nichols algebras of diagonal type. https://arxiv.org/abs/1803.08804

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