English

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

Representation Theory 2015-09-09 v1 Quantum Algebra

Abstract

The two-parameter quantum vertex operator representation of level-one is explicitly constructed for Ur,s(Cn(1))U_{r,s}(C^{(1)}_n) 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=1rs=1.

Keywords

Cite

@article{arxiv.1509.02271,
  title  = {Two-parameter Quantum Affine Algebra of Type ${\mathrm C_n^{(1)}},$ Drinfeld Realization and Vertex Representation},
  author = {Naihong Hu and Honglian Zhang},
  journal= {arXiv preprint arXiv:1509.02271},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T10:51:32.088Z