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Abstract:

We compute necessary conditions on YetterDrinfeld modules over the groups PGL(2, q) = PGL(2, q) and PSL(2, q) = PSL(2, q) to generate finite-dimensional Nichols algebras. This is a first step towards a classification of pointed Hopf algebras with group of group-likes isomorphic to one of these groups. As a by-product of the techniques developed in this work, we prove that any finite-dimensional pointed Hopf algebra over the Mathieu groups M20 or M21 = PSL(3, 4) is the group algebra. © 2010 World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:On nichols algebras over PGL (2, q) and PSL (2, q)
Autor:Freyre, S.; Graña, M.; Vendramin, L.
Filiación:Departamento de Matemática - FCEyN, Universidad de Buenos Aires, PAB i - Ciudad Universitaria, (1428) Buenos Aires, Argentina
Instituto de Ciencias, Universidad Nacional General Sarmiento, J. M. Gutierrez 1150 - Los Polvorines (1613), Provincia de Buenos Aires, Argentina
Palabras clave:Nichols algebra; Pointed Hopf algebra; Racks
Año:2010
Volumen:9
Número:2
Página de inicio:195
Página de fin:208
DOI: http://dx.doi.org/10.1142/S0219498810003823
Título revista:Journal of Algebra and its Applications
Título revista abreviado:J. Algebra Appl.
ISSN:02194988
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02194988_v9_n2_p195_Freyre

Referencias:

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Citas:

---------- APA ----------
Freyre, S., Graña, M. & Vendramin, L. (2010) . On nichols algebras over PGL (2, q) and PSL (2, q). Journal of Algebra and its Applications, 9(2), 195-208.
http://dx.doi.org/10.1142/S0219498810003823
---------- CHICAGO ----------
Freyre, S., Graña, M., Vendramin, L. "On nichols algebras over PGL (2, q) and PSL (2, q)" . Journal of Algebra and its Applications 9, no. 2 (2010) : 195-208.
http://dx.doi.org/10.1142/S0219498810003823
---------- MLA ----------
Freyre, S., Graña, M., Vendramin, L. "On nichols algebras over PGL (2, q) and PSL (2, q)" . Journal of Algebra and its Applications, vol. 9, no. 2, 2010, pp. 195-208.
http://dx.doi.org/10.1142/S0219498810003823
---------- VANCOUVER ----------
Freyre, S., Graña, M., Vendramin, L. On nichols algebras over PGL (2, q) and PSL (2, q). J. Algebra Appl. 2010;9(2):195-208.
http://dx.doi.org/10.1142/S0219498810003823