English

Quantized W-algebra of sl(2,1) and quantum parafermions of U_q(sl(2))

Quantum Algebra 2016-09-21 v2 Representation Theory

Abstract

In this paper, we establish the connection between the quantized W-algebra of sl(2,1){\frak sl}(2,1) and quantum parafermions of Uq(sl^(2))U_q(\hat {\frak sl}(2)) that a shifted product of the two quantum parafermions of Uq(sl^(2))U_q(\hat {\frak sl}(2)) generates the quantized W-algebra of sl(2,1){\frak sl}(2,1).

Keywords

Cite

@article{arxiv.math/9802076,
  title  = {Quantized W-algebra of sl(2,1) and quantum parafermions of U_q(sl(2))},
  author = {Jintai Ding and Boris Feigin},
  journal= {arXiv preprint arXiv:math/9802076},
  year   = {2016}
}