Braid Group Action and Quantum Affine Algebras

Details Braid Group Action and Quantum Affine Algebras Braid Group Action and Quantum Affine Algebras

1994-04-27

arxiv.org/abs/hep-th/9404165v1

Commun.Math.Phys. 165 (1994) 555-568

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1007/BF02099423

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$'$d's new realization. Coproduct
formulas are given and a PBW type basis is constructed.

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