Two-parameter Quantum Affine Algebra of Type ${\mathrm{C}}_n^{(1)},$ Drinfeld Realization and Vertex Representation

Abstract

The two-parameter quantum vertex operator representation of level-one is explicitly constructed for $U_{r,s}(C_n^{(1)})$ based on its two-parameter Drinfeld realization we give. This construction will degenerate to the one-parameter case due to Jing-Koyama-Misra (\cite{JKM2}) when $rs=1$.

28 pages. arXiv admin note: text overlap with arXiv:math/9802123 by other authors

References in corpus (2)

• Two-parameter twisted quantum affine algebras
• Generating Functions with $\tau$-Invariance and Vertex Representations of Quantum Affine Algebras $U_{r,s}(\hat{\mathfrak{g}})$ (I): Simply-laced Cases