q-Vertex operators for quantum affine algebras

1999/01/06 by Naihuan Jing, Kailash C. Misra
Mathematics · #math.QA

paper · pdf

published as Contem. Math. 248 (1999), 293-307. · AMSLATEX, 15 pages

arxiv created 1999/01/06 · arxiv updated 2009/11/30

Abstract

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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