English

Fermionic realization of two-parameter quantum affine algebra $U_{r,s}(C_l^{(1)})$

Quantum Algebra 2016-05-03 v1

Abstract

We construct a Fock space representation and the action of the two-parameter quantum algebra Ur,s(gl)U_{r,s}(\frak{gl}_{\infty}) using extended Young diagrams. In particular, we obtain an integrable representation of the two-parameter quantum affine algebra of type Cn(1)C_n^{(1)} which is a two-parameter generalization of Kang-Misra-Miwa's realization.

Keywords

Cite

@article{arxiv.1503.02228,
  title  = {Fermionic realization of two-parameter quantum affine algebra $U_{r,s}(C_l^{(1)})$},
  author = {Naihuan Jing and Honglian Zhang},
  journal= {arXiv preprint arXiv:1503.02228},
  year   = {2016}
}

Comments

12 pp, 20 refs

R2 v1 2026-06-22T08:46:47.413Z