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.
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Documento: |
Artículo
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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
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Palabras clave: | 16W30; 17B37; Nichols algebras; Pointed Hopf algebras; Racks |
Año: | 2011
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Volumen: | 325
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Número: | 1
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Página de inicio: | 305
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Página de fin: | 320
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DOI: |
http://dx.doi.org/10.1016/j.jalgebra.2010.10.019 |
Título revista: | Journal of Algebra
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Título revista abreviado: | J. Algebra
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ISSN: | 00218693
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CODEN: | JALGA
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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