Braid group action and quantum affine algebras |
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| Authors: | Jonathan Beck |
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| Institution: | (1) Massachusetts Institute of Technology, Room 2-130, 77 Massachusetts Avenue, 02139 Cambridge, MA, USA |
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| 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 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. |
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