English

Graded quantum groups

Quantum Algebra 2007-05-23 v1

Abstract

Starting from a Hopf algebra endowed with an action of a group G by Hopf automorphisms, we construct (by a twisted double method) a quasitriangular Hopf G-coalgebra. This method allows us to obtain non-trivial examples of quasitriangular Hopf G-coalgebras for any finite group G and for infinite groups G such as GL(n,K). In particular, we define the graded quantum groups.

Keywords

Cite

@article{arxiv.math/0312330,
  title  = {Graded quantum groups},
  author = {Alexis Virelizier},
  journal= {arXiv preprint arXiv:math/0312330},
  year   = {2007}
}

Comments

18 pages