On Vertex Operator Construction of Quantum Affine Algebras

Details On Vertex Operator Construction of Quantum Affine Algebras On Vertex Operator Construction of Quantum Affine Algebras

2001-10-17

arxiv.org/abs/hep-th/0110148v3

Teor.Mat.Fiz.154:240-248,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 9 pages; typos corrected, references added

Scientific paper

10.1007/s11232-008-0019-6

We describe the construction of the quantum deformed affine Lie algebras
using the vertex operators in the free field theory. We prove the Serre
relations for the quantum deformed Borel subalgebras of affine algebras, namely
the case of $\hat{\it sl}_{2}$ is considered in detail. We provide some
formulas for generators of affine algebra.

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