On finite GK-dimensional Nichols algebras of diagonal type
Abstract
It was conjectured in 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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