Abstract:
We introduce a family of braided Hopf algebras that (in characteristic zero) generalizes the rank 1 Hopf algebras introduced by Krop and Radford and we study its cleft extensions. © 2017, Copyright © Taylor & Francis.
Registro:
Documento: |
Artículo
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Título: | Cleft extensions of a family of braided Hopf algebras |
Autor: | Da Rocha, M.; Guccione, J.A.; Guccione, J. |
Filiación: | Departamento de Metodología, Estadística y Matemáticas, Universidad Nacional de Tres de Febrero, Mosconi, Sáenz Peña, Argentina Departamento de Matemática, Facultad de Ciencias Exactas y Naturales-UBA, Pabellón 1-Ciudad Universitaria, Buenos Aires, Argentina Instituto de Investigaciones Matemáticas “Luis A. Santaló”, Pabellón 1-Ciudad Universitaria, Buenos Aires, Argentina Instituto Argentino de Matemática-CONICET, Buenos Aires, Argentina
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Palabras clave: | Braided Hopf algebras; cleft extensions; rank 1 Hopf algebras |
Año: | 2017
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Volumen: | 45
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Número: | 7
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Página de inicio: | 3166
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Página de fin: | 3205
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DOI: |
http://dx.doi.org/10.1080/00927872.2016.1236118 |
Título revista: | Communications in Algebra
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Título revista abreviado: | Commun. Algebra
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ISSN: | 00927872
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v45_n7_p3166_DaRocha |
Referencias:
- Brzeziński, T., Crossed products by a coalgebra (1997) Comm. Algebra, 25 (11), pp. 3551-3575
- Doi, Y., Takeuchi, M., Quaternion algebras and Hopf crossed products (1995) Comm. Algebra, 23 (9), pp. 3291-3325. , MR1335303 (96d:16049)
- Guccione, J.A., Guccione, J.J., Theory of braided Hopf crossed products (2003) J. Algebra, 261 (1), pp. 54-101. , MR1967157 (2004d:16054)
- Krop, L., Radford, D.E., Finite-dimensional Hopf algebras of rank one in characteristic zero (2006) J. Algebra, 302 (1), pp. 214-230. , MR2236601 (2008b:16064)
- Masuoka, A., Cleft extensions for a Hopf algebra generated by a nearly primitive element (1994) Comm. Algebra, 22 (11), pp. 4537-4559. , MR1284344 (96e:16049)
- Scherotzke, S., Classification of pointed rank one Hopf algebras (2008) J. Algebra, 319 (7), pp. 2889-2912. , MR2397414 (2009c:16126)
Citas:
---------- APA ----------
Da Rocha, M., Guccione, J.A. & Guccione, J.
(2017)
. Cleft extensions of a family of braided Hopf algebras. Communications in Algebra, 45(7), 3166-3205.
http://dx.doi.org/10.1080/00927872.2016.1236118---------- CHICAGO ----------
Da Rocha, M., Guccione, J.A., Guccione, J.
"Cleft extensions of a family of braided Hopf algebras"
. Communications in Algebra 45, no. 7
(2017) : 3166-3205.
http://dx.doi.org/10.1080/00927872.2016.1236118---------- MLA ----------
Da Rocha, M., Guccione, J.A., Guccione, J.
"Cleft extensions of a family of braided Hopf algebras"
. Communications in Algebra, vol. 45, no. 7, 2017, pp. 3166-3205.
http://dx.doi.org/10.1080/00927872.2016.1236118---------- VANCOUVER ----------
Da Rocha, M., Guccione, J.A., Guccione, J. Cleft extensions of a family of braided Hopf algebras. Commun. Algebra. 2017;45(7):3166-3205.
http://dx.doi.org/10.1080/00927872.2016.1236118