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arxiv: 0706.1817 · v2 · pith:4J6OHA6Mnew · submitted 2007-06-13 · 🧮 math.QA · math.RT

Characters of representations of affine Kac-Moody Lie algebras at the critical level

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keywords affinealgebracriticalkac-moodylevelrepresentationsalgebrascharacter
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We present an explicit character formula for the irreducible highest weight representations of the non-twisted affine Kac-Moody Lie algebra at the critical level which are integrable over the corresponding finite-dimensional simple Lie algebra.

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