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oai:recercat.cat:2072/4692572025-04-03T09:28:42Zcom_2072_98col_2072_378192

00925njm 22002777a 4500 dc Angiono, Ivan author García Iglesias, Agustín author 2023 Altres ajuts: The work was partially supported by CONICET, FONCyT-ANPCyT, Secyt (UNC), and the MathAmSud project GR2HOPF. 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. Hopf algebras Nichols algebras Gelfand-kirillov dimension On finite GK-dimensional Nichols algebras of diagonal type : rank 3 and Cartan type