Twisting Hopf algebras from cocycle deformations
Let H be a Hopf algebra. Any finite-dimensional lifting of V∈HHYD arising as a cocycle deformation of A= B(V) # H defines a twist in the Hopf algebra A∗, via dualization. We follow this recipe to write down explicit examples and show that it extends known techniques for defining twists. We also cont...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/58452 |
| Acceso en línea: | http://hdl.handle.net/11336/58452 |
| Access Level: | acceso abierto |
| Palabra clave: | BRAIDED TWISTS HOPF ALGEBRAS TWISTS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Let H be a Hopf algebra. Any finite-dimensional lifting of V∈HHYD arising as a cocycle deformation of A= B(V) # H defines a twist in the Hopf algebra A∗, via dualization. We follow this recipe to write down explicit examples and show that it extends known techniques for defining twists. We also contribute with a detailed survey about twists in braided categories. |
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