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Abstract:

We show that every finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group is a group algebra, except for the Fischer group Fi22, the Baby Monster and the Monster. For these three groups, we give a short list of irreducible Yetter-Drinfeld modules whose Nichols algebra is not known to be finite-dimensional. © 2010 Elsevier Inc.

Registro:

Documento: Artículo
Título:Pointed Hopf algebras over the sporadic simple groups
Autor:Andruskiewitsch, N.; Fantino, F.; Graña, M.; Vendramin, L.
Filiación:Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, CIEM - CONICET, Medina Allende s/n (5000), Ciudad Universitaria, Córdoba, Argentina
Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pab. I, Ciudad Universitaria (1428), Buenos Aires, Argentina
Instituto de Ciencias, Universidad de Gral. Sarmiento, J.M. Gutierrez 1150, Los Polvorines (1653), Buenos Aires, Argentina
Palabras clave:16W30; 17B37; Nichols algebras; Pointed Hopf algebras; Racks
Año:2011
Volumen:325
Número:1
Página de inicio:305
Página de fin:320
DOI: http://dx.doi.org/10.1016/j.jalgebra.2010.10.019
Título revista:Journal of Algebra
Título revista abreviado:J. Algebra
ISSN:00218693
CODEN:JALGA
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00218693_v325_n1_p305_Andruskiewitsch.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v325_n1_p305_Andruskiewitsch

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Citas:

---------- APA ----------
Andruskiewitsch, N., Fantino, F., Graña, M. & Vendramin, L. (2011) . Pointed Hopf algebras over the sporadic simple groups. Journal of Algebra, 325(1), 305-320.
http://dx.doi.org/10.1016/j.jalgebra.2010.10.019
---------- CHICAGO ----------
Andruskiewitsch, N., Fantino, F., Graña, M., Vendramin, L. "Pointed Hopf algebras over the sporadic simple groups" . Journal of Algebra 325, no. 1 (2011) : 305-320.
http://dx.doi.org/10.1016/j.jalgebra.2010.10.019
---------- MLA ----------
Andruskiewitsch, N., Fantino, F., Graña, M., Vendramin, L. "Pointed Hopf algebras over the sporadic simple groups" . Journal of Algebra, vol. 325, no. 1, 2011, pp. 305-320.
http://dx.doi.org/10.1016/j.jalgebra.2010.10.019
---------- VANCOUVER ----------
Andruskiewitsch, N., Fantino, F., Graña, M., Vendramin, L. Pointed Hopf algebras over the sporadic simple groups. J. Algebra. 2011;325(1):305-320.
http://dx.doi.org/10.1016/j.jalgebra.2010.10.019