Artículo

Finite GK-dimensional pre-Nichols algebras of quantum linear spaces and of Cartan type

Andruskiewitsch, NicolasIcon ; Sanmarco, Guillermo LuisIcon
Fecha de publicación: 04/2021
Editorial: American Mathematical Society
Revista: Transactions of the American Mathematical Society. Series B
e-ISSN: 2330-0000
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We study pre-Nichols algebras of quantum linear spaces and of Cartan type with finite GK-dimension. We prove that out of a short list of exceptions involving only roots of order 2, 3, 4, 6, any such pre-Nichols algebra is a quotient of the distinguished pre-Nichols algebra introduced by Angiono generalizing the De Concini-Procesi quantum groups. There are two new examples, one of which can be thought of as G2 at a third root of one.
Palabras clave: HOPF ALGEBRAS , NICHOLS ALGEBRAS
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)
Identificadores
URI: http://hdl.handle.net/11336/172732
URL: https://www.ams.org/btran/2021-08-10/S2330-0000-2021-00066-7/
DOI: http://dx.doi.org/10.1090/btran/66
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Andruskiewitsch, Nicolas; Sanmarco, Guillermo Luis; Finite GK-dimensional pre-Nichols algebras of quantum linear spaces and of Cartan type; American Mathematical Society; Transactions of the American Mathematical Society. Series B; 8; 10; 4-2021; 296-329
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