On finite GK-dimensional Nichols algebras of diagonal type : rank 3 and Cartan type
Angiono, Ivan (Universidad Nacional de Córdoba)
García Iglesias, Agustín (Universidad Nacional de Córdoba)

Date:	2023
Abstract:	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.
Note:	Altres ajuts: The work was partially supported by CONICET, FONCyT-ANPCyT, Secyt (UNC), and the MathAmSud project GR2HOPF.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Hopf algebras ; Nichols algebras ; Gelfand-kirillov dimension
Published in:	Publicacions matemàtiques, Vol. 67 Núm. 2 (2023) , p. 757-793 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/418477
DOI: 10.5565/PUBLMAT6722311

37 p, 487.8 KB

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