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

Abstract

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

arXiv comment8 pages plain latex. To appear in J. Phys. A

References in corpus (1)

• Bott - Borel - Weil Construction For Quantum Supergroup Uq(gl(m|n))

Cited by in corpus (2)

• Vector coherent state representations, induced representations, and geometric quantization: I. Scalar coherent state representations
• Vector coherent state representations, induced representations, and geometric quantization: II. Vector coherent state representations