Artículo
Graña, M.; Guccione, J.A.; Guccione, J.J. "Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism" (2007) Journal of Pure and Applied Algebra. 210(2):493-500
Este artículo es de Acceso Abierto y puede ser descargado en su versión final desde nuestro repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
Every finite dimensional Hopf algebra is a Frobenius algebra, with Frobenius homomorphism given by an integral. The Nakayama automorphism determined by it yields a decomposition with degrees in a cyclic group. For a family of pointed Hopf algebras, we determine necessary and sufficient conditions for this decomposition to be strongly graded. © 2006 Elsevier Ltd. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism |
| Autor: | Graña, M.; Guccione, J.A.; Guccione, J.J. |
| Filiación: | Depto de Matemática, FCEyN, Universidad de Buenos Aires, Pab. I, Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| Año: | 2007 |
| Volumen: | 210 |
| Número: | 2 |
| Página de inicio: | 493 |
| Página de fin: | 500 |
| DOI: | http://dx.doi.org/10.1016/j.jpaa.2006.10.004 |
| Título revista: | Journal of Pure and Applied Algebra |
| Título revista abreviado: | J. Pure Appl. Algebra |
| ISSN: | 00224049 |
| CODEN: | JPAAA |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00224049_v210_n2_p493_Grana.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v210_n2_p493_Grana |
Referencias:
- Andruskiewitsch, N., Graña, M., Braided Hopf algebras over non-abelian finite groups (1999) Bol. Acad. Nac. Cienc. (Córdoba), 63, pp. 45-78
- Andruskiewitsch, N., Schneider, H.-J., Pointed Hopf algebras (2002) Math. Sci. Res. Inst. Publ., 43, pp. 1-68. , New Directions in Hopf Algebras, Cambridge Univ. Press, Cambridge
- Guccione, J.A., Guccione, J.J., Hochschild cohomology of Frobenius algebras (2004) Proc. Amer. Math. Soc., 132 (5), pp. 1241-1250. , (electronic)
- Marcus, A., (1999) Representation Theory of Group Graded Algebras, , Nova Science Publishers Inc., Commack, NY
- Nichols, W.D., Bialgebras of type one (1978) Comm. Algebra, 6, pp. 1521-1552
- Radford, D.E., The trace function and Hopf algebras (1994) J. Algebra, 163 (3), pp. 583-622
- Radford, D.E., The order of the antipode of a finite dimensional Hopf algebra is finite (1976) Amer. J. Math., 98 (2), pp. 333-355
- Radford, D.E., Schneider, H.-J., On the even powers of the antipode of a finite-dimensional Hopf algebra (2002) J. Algebra, 251 (1), pp. 185-212
- Schneider, H.-J., (1995) Trabajos de Matemática, 31 (95). , Universidad Nacional de Córdoba, FaMAF, Córdoba
Citas:
---------- APA ----------
Graña, M., Guccione, J.A. & Guccione, J.J. (2007) . Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism. Journal of Pure and Applied Algebra, 210(2), 493-500.http://dx.doi.org/10.1016/j.jpaa.2006.10.004
---------- CHICAGO ----------
Graña, M., Guccione, J.A., Guccione, J.J. "Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism" . Journal of Pure and Applied Algebra 210, no. 2 (2007) : 493-500.http://dx.doi.org/10.1016/j.jpaa.2006.10.004
---------- MLA ----------
Graña, M., Guccione, J.A., Guccione, J.J. "Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism" . Journal of Pure and Applied Algebra, vol. 210, no. 2, 2007, pp. 493-500.http://dx.doi.org/10.1016/j.jpaa.2006.10.004
---------- VANCOUVER ----------
Graña, M., Guccione, J.A., Guccione, J.J. Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism. J. Pure Appl. Algebra. 2007;210(2):493-500.http://dx.doi.org/10.1016/j.jpaa.2006.10.004
