English

De-equivariantization of Hopf algebras

Quantum Algebra 2012-06-05 v1 Category Theory Representation Theory

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)A(H,G,\Phi) attached to a coradically-graded pointed Hopf algebra HH and some extra data.

Keywords

Cite

@article{arxiv.1206.0410,
  title  = {De-equivariantization of Hopf algebras},
  author = {Iván Angiono and César Galindo and Mariana Pereira},
  journal= {arXiv preprint arXiv:1206.0410},
  year   = {2012}
}