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On finite GK-dimensional Nichols algebras of diagonal type
Published 23 Mar 2018 in math.QA and math.RA | (1803.08804v1)
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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