Artículo

On the classification of of finite-dimensional pointed Hopf algebras

Andruskiewitsch, NicolasIcon ; Schneider, Hans Jürgen
Fecha de publicación: 17/03/2010
Editorial: Princeton University. Department of Mathematics
Revista: Annals Of Mathematics
ISSN: 0003-486X
e-ISSN: 1939-8980
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We classify finite-dimensional complex Hopf algebras A which are pointed, that is, all of whose irreducible comodules are one-dimensional, and whose group of group-like elements G (A) is abelian such that all prime divisors of the order of G.(A) are > 7. Since these Hopf algebras turn out to be deformations of a natural class of generalized small quantum groups, our result can be read as an axiomatic description of generalized small quantum groups.
Palabras clave: Pointed Hopf algebras , Quantum groups
 
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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-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/187187
URL: https://annals.math.princeton.edu/2010/171-1/p07
DOI: http://doi.org/10.4007/annals.2010.171.375
URL: https://arxiv.org/pdf/math/0502157.pdf
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Andruskiewitsch, Nicolas; Schneider, Hans Jürgen; On the classification of of finite-dimensional pointed Hopf algebras; Princeton University. Department of Mathematics; Annals Of Mathematics; 171; 1; 17-3-2010; 375-417
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