Central elements for quantum affine algebras and affine Macdonald’s operators
نویسندگان
چکیده
منابع مشابه
Central Elements for Quantum Affine Algebras and Affine Macdonald’s Operators
We describe a generalization of Drinfeld’s description of the center of a quantum group to the case of quantum affine algebras. We use the obtained central elements to construct the affine analogue of Macdonald’s difference operators. 1. The center of Uq(g), where g is a simple Lie algebra. 1.1. Let g be a simple Lie algebra over C of rank r. Let h be a Cartan subalgebra in g. Let W be the Weyl...
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q-vertex operators for quantum affine algebras have played important role in the theory of solvable lattice models and the quantum KnizhnikZamolodchikov equation. Explicit constructions of these vertex operators for most level one modules are known for classical types except for type C (1) n , where the level −1/2 have been constructed. In this paper we survey these results for the quantum affi...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 1995
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.1995.v2.n5.a7