Braid Group Action and Quantum Affine Algebras

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 Drinfel${}^{\prime }$d's new realization. Coproduct formulas are given and a PBW type basis is constructed.

15 pages

Cited by in corpus (85)

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