Braid Group Action and Quantum Affine Algebras
High Energy Physics - Theory
2009-10-28 v1 Quantum Algebra
Abstract
We lift the lattice of translations in the extended affine Weyl group to a braid group action on the quantum affine algebra. This action fixes the Heisenberg subalgebra pointwise. Loop like generators are found for the algebra which satisfy the relations of Drinfeld's new realization. Coproduct formulas are given and a PBW type basis is constructed.
Cite
@article{arxiv.hep-th/9404165,
title = {Braid Group Action and Quantum Affine Algebras},
author = {Jonathan Beck},
journal= {arXiv preprint arXiv:hep-th/9404165},
year = {2009}
}
Comments
15 pages