English

A construction of level 1 irreducible modules for $U_q(\hat{sp}_4)$ using level 2 intertwiners for $U_q(\hat{sl}_2)$

Quantum Algebra 2007-05-23 v1

Abstract

We bosonize certain components of level \ell Uq(sl^2)U_q(\hat{sl}_2)-intertwiners of (+1)(\ell + 1)-dimensions. For =2\ell = 2, these intertwiners, after certain modification by bosonic vertex operators, are added to the algebra Uq(sl^2)U_q(\hat{sl}_2) at level 2 to construct all irreducible highest weight representations of level 1 for the quantum affine algebra Uq(sp^4)U_q(\hat{sp}_4).

Keywords

Cite

@article{arxiv.math/0201124,
  title  = {A construction of level 1 irreducible modules for $U_q(\hat{sp}_4)$ using level 2 intertwiners for $U_q(\hat{sl}_2)$},
  author = {Boris Feigin and Jin Hong and Tetsuji Miwa},
  journal= {arXiv preprint arXiv:math/0201124},
  year   = {2007}
}