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Modules of the toroidal Lie algebra $\widehat{\widehat{\mathfrak{sl}}}_{2}$ (1508.07392v1)

Published 29 Aug 2015 in math.QA and math.RT

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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