English

A categorification of the ribbon element in quantum sl(2)

Quantum Algebra 2013-04-30 v1

Abstract

We define a bicomplex whose Euler characteristic is the idempotented version of the ribbon element of quantum sl(2). We show that properties of this bicomplex descend to the centrality, invertibility and symmetries of the ribbon element after decategorification.

Keywords

Cite

@article{arxiv.1304.7585,
  title  = {A categorification of the ribbon element in quantum sl(2)},
  author = {Anna Beliakova and Kazuo Habiro},
  journal= {arXiv preprint arXiv:1304.7585},
  year   = {2013}
}

Comments

34 pages, xypic figures