Braid group action and quantum affine algebras

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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 of the algebra are obtained which satisfy the relations of Drinfel'd's new realization. Coproduct formulas are given and a PBW type basis is constructed.

Original languageEnglish
Pages (from-to)555-568
Number of pages14
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Oct 1994
Externally publishedYes


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