19 research outputs found
Braid Group Action and Quantum Affine Algebras
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.Comment: 15 page