On finite GK-dimensional Nichols algebras of diagonal type

Istv\'an Heckenberger; Iv\'an Angiono; Nicol\'as Andruskiewitsch

arxiv: 1803.08804 · v1 · pith:I7EJ4FZNnew · submitted 2018-03-23 · 🧮 math.QA · math.RA

On finite GK-dimensional Nichols algebras of diagonal type

Nicol\'as Andruskiewitsch , Iv\'an Angiono , Istv\'an Heckenberger This is my paper

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keywords finitenicholstypealgebradiagonaldimensiongelfand-kirillovaffine

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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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On finite GK-dimensional Nichols algebras of diagonal type

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