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

• Angiono, Iván ^[1] ; García Iglesias, Agustín ^[1]
  1. [1] Universidad Nacional de Córdoba

     Universidad Nacional de Córdoba

     Argentina

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 67, Nº 0, 2023, págs. 757-793
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.