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De-Equivariantization of Hopf Algebras |
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| Authors: | Iván Angiono César Galindo Mariana Pereira |
| Affiliation: | 1. FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000, Córdoba, República Argentina 2. Departamento de Matemáticas, Universidad de los Andes, Carrera 1 N. 18A - 10, Bogotá, Colombia 3. Instituto de Matemática y Estadística Rafael Laguardia, Facultad de Ingeniería, Universidad de la República, J.H.Reissig 565, CP 11.300, Montevideo, Uruguay |
| Abstract: | We study the de-equivariantization of a Hopf algebra by an affine group scheme and we apply Tannakian techniques in order to realize it as the tensor category of comodules over a coquasi-bialgebra. As an application we construct a family of coquasi-Hopf algebras A(H, G, Φ) attached to a coradically-graded pointed Hopf algebra H and some extra data. |
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