Triangular braidings and pointed Hopf algebras

Details Triangular braidings and pointed Hopf algebras Triangular braidings and pointed Hopf algebras

2004-07-26

arxiv.org/abs/math/0407436v1

Mathematics

Quantum Algebra

20 pages

Scientific paper

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.

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