On Vertex Operator Construction of Quantum Affine Algebras
S. Klevtsov
TL;DR
This paper constructs quantum affine algebras using vertex operators in free field theory, proving Serre relations and providing formulas for generators, with detailed focus on the case.
Contribution
It introduces a vertex operator approach to quantum affine algebras, establishing Serre relations and explicit generator formulas, advancing algebraic understanding.
Findings
Proved Serre relations for quantum deformed affine Lie algebras.
Constructed generators of affine algebras using vertex operators.
Detailed analysis of the case.
Abstract
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 is considered in detail. We provide some formulas for generators of affine algebra.
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