Resumen de On finite GK-dimensional Nichols algebras of diagonal type: rank 3 and Cartan type

Iván Angiono, Agustín García Iglesias

• This paper contributes to the proof of the conjecture posed in [5], stating that a Nichols algebra of diagonal type with finite Gelfand–Kirillov dimension has a finite (generalized) root system. We prove the conjecture assuming that the rank is 3 or that the braiding is of Cartan type.