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

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

1997-11-03

arxiv.org/abs/q-alg/9711002v1

Mathematics

Quantum Algebra

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

Scientific paper

10.1088/0305-4470/30/18/028

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

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