Invariance of the Drinfeld pairing of a quantum group
Quantum Algebra
2015-12-17 v2
Abstract
We give two alternative proofs of the invariance of the Drinfeld pairing under the action of the braid group. One uses the Shapovalov form, and the other uses a characterization of the universal -matrix.
Cite
@article{arxiv.1503.04573,
title = {Invariance of the Drinfeld pairing of a quantum group},
author = {Toshiyuki Tanisaki},
journal= {arXiv preprint arXiv:1503.04573},
year = {2015}
}
Comments
v2: 15pages. accepted in Tokyo Journal of Mathematics. the second proof of the main result is included