Artículo
Farinati, M.A.; Solotar, A.L. "G-structure on the cohomology of Hopf algebras" (2004) Proceedings of the American Mathematical Society. 132(10):2859-2865
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Abstract:
We prove that Ext•A(k, k) is a Gerstenhaber algebra, where A is a Hopf algebra. In case A = D(H) is the Drinfeld double of a finite-dimensional Hopf algebra H, our results imply the existence of a Gerstenhaber bracket on H•GS (H, H). This fact was conjectured by R. Taillefer. The method consists of identifying H •GS (H, H) ≅ Ext•A (k, k) as a Gerstenhaber subalgebra of H• (A, A) (the Hochschild cohomology of A).
Registro:
| Documento: | Artículo |
| Título: | G-structure on the cohomology of Hopf algebras |
| Autor: | Farinati, M.A.; Solotar, A.L. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria Pab I. 1428, Buenos Aires, Argentina |
| Palabras clave: | Gerstenhaber algebras; Hochschild cohomology; Hopf algebras |
| Año: | 2004 |
| Volumen: | 132 |
| Número: | 10 |
| Página de inicio: | 2859 |
| Página de fin: | 2865 |
| DOI: | http://dx.doi.org/10.1090/S0002-9939-04-07274-0 |
| Título revista: | Proceedings of the American Mathematical Society |
| Título revista abreviado: | Proc. Am. Math. Soc. |
| ISSN: | 00029939 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00029939_v132_n10_p2859_Farinati.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v132_n10_p2859_Farinati |
Referencias:
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- Taillefer, R., Cohomology theories of Hopf bimodules and cup-product (2001) C. R. Acad. Sci., Paris, Sér. I, Math., 332 (3), pp. 189-194. , MR 2001m:16066
- Taillefer, R., thesis, Université Montpellier 2 (2001); Taillefer, R., Injective Hopf Bimodules, Cohomologies of Infinite Dimensional Hopf Algebras and Graded-commutativity of the Yoneda Product, , ArXivMath math.KT/0207154
Citas:
---------- APA ----------
Farinati, M.A. & Solotar, A.L. (2004) . G-structure on the cohomology of Hopf algebras. Proceedings of the American Mathematical Society, 132(10), 2859-2865.http://dx.doi.org/10.1090/S0002-9939-04-07274-0
---------- CHICAGO ----------
Farinati, M.A., Solotar, A.L. "G-structure on the cohomology of Hopf algebras" . Proceedings of the American Mathematical Society 132, no. 10 (2004) : 2859-2865.http://dx.doi.org/10.1090/S0002-9939-04-07274-0
---------- MLA ----------
Farinati, M.A., Solotar, A.L. "G-structure on the cohomology of Hopf algebras" . Proceedings of the American Mathematical Society, vol. 132, no. 10, 2004, pp. 2859-2865.http://dx.doi.org/10.1090/S0002-9939-04-07274-0
---------- VANCOUVER ----------
Farinati, M.A., Solotar, A.L. G-structure on the cohomology of Hopf algebras. Proc. Am. Math. Soc. 2004;132(10):2859-2865.http://dx.doi.org/10.1090/S0002-9939-04-07274-0
