English

Vector Coherent State Realization of Representations of the Affine Lie Algebra $\hat{sl}(2)$

q-alg 2009-10-30 v1 Quantum Algebra

Abstract

The method of vector coherent states is generalized to study representations of the affine Lie algebra sl^(2)\hat{sl}(2). A large class of highest weight irreps is explicitly constructed, which contains the integrable highest weight irreps as special cases.

Keywords

Cite

@article{arxiv.q-alg/9711002,
  title  = {Vector Coherent State Realization of Representations of the Affine Lie Algebra $\hat{sl}(2)$},
  author = {R. B. Zhang},
  journal= {arXiv preprint arXiv:q-alg/9711002},
  year   = {2009}
}

Comments

8 pages plain latex. To appear in J. Phys. A