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De-Equivariantization of Hopf Algebras

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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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Authors and Affiliations

  1. FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000, Córdoba, República Argentina

    Iván Angiono

  2. Departamento de Matemáticas, Universidad de los Andes, Carrera 1 N. 18A - 10, Bogotá, Colombia

    César Galindo

  3. Instituto de Matemática y Estadística Rafael Laguardia, Facultad de Ingeniería, Universidad de la República, J.H.Reissig 565, CP 11.300, Montevideo, Uruguay

    Mariana Pereira

Authors
  1. Iván Angiono
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  2. César Galindo
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  3. Mariana Pereira
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Corresponding author

Correspondence to César Galindo.

Additional information

The work of I. A. was partially supported by CONICET, FONCyT-ANPCyT and Secyt (UNC). M.P. is grateful for the support from the grant ANII FCE 2007-059.

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Angiono, I., Galindo, C. & Pereira, M. De-Equivariantization of Hopf Algebras. Algebr Represent Theor 17, 161–180 (2014). https://doi.org/10.1007/s10468-012-9392-9

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  • DOI: https://doi.org/10.1007/s10468-012-9392-9

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