Artículo
Guccione, J.A.; Guccione, J.J.; Valqui, C. "Universal deformation formulas and braided module algebras" (2011) Journal of Algebra. 330(1):263-297
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Abstract:
We study formal deformations of a crossed product S(V)#fG, of a polynomial algebra with a group, induced from a universal deformation formula introduced by Witherspoon. These deformations arise from braided actions of Hopf algebras generated by automorphisms and skew derivations. We show that they are non-trivial in the characteristic free context, even if G is infinite, by showing that their infinitesimals are not coboundaries. For this we construct a new complex which computes the Hochschild cohomology of S(V)#fG. © 2011 Elsevier Inc.
Registro:
| Documento: | Artículo |
| Título: | Universal deformation formulas and braided module algebras |
| Autor: | Guccione, J.A.; Guccione, J.J.; Valqui, C. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón 1, Ciudad Universitaria, (1428) Buenos Aires, Argentina Pontificia Universidad Católica del Perú, Instituto de Matemática y Ciencias Afines, Sección Matemáticas, PUCP, Av. Universitaria 1801, San Miguel, Lima 32, Peru |
| Palabras clave: | Crossed product; Deformation; Hochschild cohomology; Primary; Secondary |
| Año: | 2011 |
| Volumen: | 330 |
| Número: | 1 |
| Página de inicio: | 263 |
| Página de fin: | 297 |
| DOI: | http://dx.doi.org/10.1016/j.jalgebra.2010.12.022 |
| Título revista: | Journal of Algebra |
| Título revista abreviado: | J. Algebra |
| ISSN: | 00218693 |
| CODEN: | JALGA |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00218693_v330_n1_p263_Guccione.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v330_n1_p263_Guccione |
Referencias:
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Citas:
---------- APA ----------
Guccione, J.A., Guccione, J.J. & Valqui, C. (2011) . Universal deformation formulas and braided module algebras. Journal of Algebra, 330(1), 263-297.http://dx.doi.org/10.1016/j.jalgebra.2010.12.022
---------- CHICAGO ----------
Guccione, J.A., Guccione, J.J., Valqui, C. "Universal deformation formulas and braided module algebras" . Journal of Algebra 330, no. 1 (2011) : 263-297.http://dx.doi.org/10.1016/j.jalgebra.2010.12.022
---------- MLA ----------
Guccione, J.A., Guccione, J.J., Valqui, C. "Universal deformation formulas and braided module algebras" . Journal of Algebra, vol. 330, no. 1, 2011, pp. 263-297.http://dx.doi.org/10.1016/j.jalgebra.2010.12.022
---------- VANCOUVER ----------
Guccione, J.A., Guccione, J.J., Valqui, C. Universal deformation formulas and braided module algebras. J. Algebra. 2011;330(1):263-297.http://dx.doi.org/10.1016/j.jalgebra.2010.12.022
