The six-vertex model at roots of unity and some highest weight representations of the sl 2 loop algebra

@inproceedings{Deguchi2006TheSM,
  title={The six-vertex model at roots of unity and some highest weight representations of the sl 2 loop algebra},
  author={Tetsuo Deguchi},
  year={2006}
}
We discuss irreducible highest weight representations of the sl2 loop algebra and reducible indecomposable ones in association with the sl2 loop algebra symmetry of the six-vertex model at roots of unity. We formulate an elementary proof that every highest weight representation with distinct evaluation parameters is irreducible. We present a general… CONTINUE READING