q-Vertex operators for quantum affine algebras

Details q-Vertex operators for quantum affine algebras q-Vertex operators for quantum affine algebras

1999-01-06

arxiv.org/abs/math/9901026v1

Contem. Math. 248 (1999), 293-307.

Mathematics

Quantum Algebra

AMSLATEX, 15 pages

Scientific paper

$q$-vertex operators for quantum affine algebras have played important role in the theory of solvable lattice models and the quantum Knizhnik-Zamolodchikov equation. Explicit constructions of these vertex operators for most level one modules are known for classical types except for type $C_n^{(1)}$, where the level -1/2 have been constructed. In this paper we survey these results for the quantum affine algebras of types $A_n^{(1)}, B_n^{(1)}, C_n^{(1)}$ and $D_n^{(1)}$.

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