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arXiv · 1402.6100

A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{(1)}$

Drazen Adamovic
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Abstract

By using methods developed in arXiv:math/0602181 we study the irreducibility of certain Wakimoto modules for $\widehat{sl_2}$ at the critical level. We classify all $\chi \in {\Bbb C}((z))$ such that the corresponding Wakimoto module $W_{\chi}$ is irreducible. It turns out that zeros of Schur polynomials play important rule in the classification result.

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Drazen Adamovic. 2014-02-25. A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{(1)}$. https://arxiv.org/abs/1402.6100

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