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Abstract:

We classify Nichols algebras of irreducible Yetter-Drinfeld modules over nonabelian groups satisfying an inequality for the dimension of the homogeneous subspace of degree two. All such Nichols algebras are finite-dimensional, and all known finite-dimensional Nichols algebras of nonabelian group type appear in the result of our classification. We find a new finite-dimensional Nichols algebra over fields of characteristic two. © 2011.

Registro:

Documento: Artículo
Título:Nichols algebras of group type with many quadratic relations
Autor:Graña, M.; Heckenberger, I.; Vendramin, L.
Filiación:Departamento de Matemática, FCEyN, Ciudad Universitaria (1428), Universidad de Buenos Aires, Pabellón 1, Buenos Aires, Argentina
Philipps-Universität Marburg, FB Mathematik und Informatik, Hans-Meerwein-Straße, 35032 Marburg, Germany
Instituto de Ciencias, Universidad de Gral. Sarmiento, J.M. Gutierrez 1150, Los Polvorines (1653), Buenos Aires, Argentina
Palabras clave:Hopf algebras; Nichols algebras; Racks
Año:2011
Volumen:227
Número:5
Página de inicio:1956
Página de fin:1989
DOI: http://dx.doi.org/10.1016/j.aim.2011.04.006
Título revista:Advances in Mathematics
Título revista abreviado:Adv. Math.
ISSN:00018708
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00018708_v227_n5_p1956_Grana.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v227_n5_p1956_Grana

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Citas:

---------- APA ----------
Graña, M., Heckenberger, I. & Vendramin, L. (2011) . Nichols algebras of group type with many quadratic relations. Advances in Mathematics, 227(5), 1956-1989.
http://dx.doi.org/10.1016/j.aim.2011.04.006
---------- CHICAGO ----------
Graña, M., Heckenberger, I., Vendramin, L. "Nichols algebras of group type with many quadratic relations" . Advances in Mathematics 227, no. 5 (2011) : 1956-1989.
http://dx.doi.org/10.1016/j.aim.2011.04.006
---------- MLA ----------
Graña, M., Heckenberger, I., Vendramin, L. "Nichols algebras of group type with many quadratic relations" . Advances in Mathematics, vol. 227, no. 5, 2011, pp. 1956-1989.
http://dx.doi.org/10.1016/j.aim.2011.04.006
---------- VANCOUVER ----------
Graña, M., Heckenberger, I., Vendramin, L. Nichols algebras of group type with many quadratic relations. Adv. Math. 2011;227(5):1956-1989.
http://dx.doi.org/10.1016/j.aim.2011.04.006