The half-twist for U_q(g) representations
Quantum Algebra
2010-10-12 v3 Representation Theory
Abstract
We introduce the notion of a half-ribbon Hopf algebra, which is a ribbon Hopf algebra along with a distinguished element corresponding to twisting a ribbon by 180 degrees (the half-twist). We show that U_q(g) is a (topological) half-ribbon Hopf algebra, but only if one uses a modified ribbon element. We then discuss some consequences of using this modified ribbon element.
Keywords
Cite
@article{arxiv.0810.0084,
title = {The half-twist for U_q(g) representations},
author = {Noah Snyder and Peter Tingley},
journal= {arXiv preprint arXiv:0810.0084},
year = {2010}
}
Comments
23 pages. v2: diagrams corrected. v3: Final draft, to appear in Algebra & Number Theory