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

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

2006-03-06

arxiv.org/abs/cond-mat/0603112v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, no figures, submitted to the proceedings of the international workshop ``Recent Advances in Quantum Integrable Syste

Scientific paper

10.1007/s00023-006-0290-8

We discuss irreducible highest weight representations of the sl(2) loop algebra and reducible indecomposable ones in association with the sl(2) 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 criteria for a highest weight representation to be irreducble. We also give an example of a reducible indecomposable highest weight representation and discuss its dimensionality.

Affiliated with

Also associated with

No associations

Rating

The six-vertex model at roots of unity and some highest weight representations of the sl(2) loop algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The six-vertex model at roots of unity and some highest weight representations of the sl(2) loop algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The six-vertex model at roots of unity and some highest weight representations of the sl(2) loop algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-44193