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arXiv · 1508.07392

Modules of the toroidal Lie algebra $\widehat{\widehat{\mathfrak{sl}}}_{2}$

Naihuan Jing·Chunhua Wang
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Abstract

Highest weight modules of the double affine Lie algebra $\widehat{\widehat{\mathfrak{sl}}}_{2}$ are studied under a new triangular decomposition. Singular vectors of Verma modules are determined using a similar condition with horizontal affine Lie subalgebras, and highest weight modules are described under the condition that $c_1>0$ and $c_2=0$.

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Naihuan Jing, Chunhua Wang. 2015-08-29. Modules of the toroidal Lie algebra $\widehat{\widehat{\mathfrak{sl}}}_{2}$. https://arxiv.org/abs/1508.07392

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