G-structure on the cohomology of Hopf algebras
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...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | Argentina |
| Institución: | Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
| Repositorio: | Biblioteca Digital (UBA-FCEN) |
| Idioma: | inglés |
| OAI Identifier: | paperaa:paper_00029939_v132_n10_p2859_Farinati |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029939_v132_n10_p2859_Farinati |
| Access Level: | acceso abierto |
| Palabra clave: | Gerstenhaber algebras Hochschild cohomology Hopf algebras |
| Sumario: | 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). |
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