English

Triangular braidings and pointed Hopf algebras

Quantum Algebra 2009-09-29 v1

Abstract

We consider an interesting class of braidings defined by a combinatorial property in an earlier paper. We show that it consists exactly of those braidings that come from certain Yetter-Drinfeld module structures over pointed Hopf algebras with abelian coradical. As a tool we define a reduced version of the FRT construction. For braidings induced by U_q(g)-modules the reduced FRT construction is calculated explicitly.

Keywords

Cite

@article{arxiv.math/0407436,
  title  = {Triangular braidings and pointed Hopf algebras},
  author = {Stefan Ufer},
  journal= {arXiv preprint arXiv:math/0407436},
  year   = {2009}
}

Comments

20 pages