On finite GK-dimensional Nichols algebras of diagonal type

2018/03/23 by Andruskiewitsch, Nicolás, Angiono, Iván, Heckenberger, István
#16W30 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1803.08804

Abstract

It was conjectured in \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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