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arxiv: 1803.01324 · v1 · submitted 2018-03-04 · 🧮 math.RT

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Classification of integrable representations for toroidal extended affine Lie algebras

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classification 🧮 math.RT
keywords mathfrakwidetildeaffineextendedintegrabletoroidalactionalgebra
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In this paper, we classify the irreducible integrable modules with finite dimensional weight spaces and non-trivial $\widetilde{\mathfrak g}_c$-action for the nullity $2$ toroidal extended affine Lie algebra $\widetilde{\mathfrak g}$, where $\widetilde{\mathfrak g}_c$ is the core of $\widetilde{\mathfrak g}$.

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