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arxiv: 1506.00826 · v3 · pith:KC2LP3DMnew · submitted 2015-06-02 · 🧮 math.QA · math.RT

Characters of integrable highest weight modules over a quantum group

classification 🧮 math.QA math.RT
keywords algebrahighestintegrablemodulesweightcharactercharactersenveloping
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We show that the Weyl-Kac type character formula holds for the integrable highest weight modules over the quantized enveloping algebra of any symmetrizable Kac-Moody Lie algebra, when the parameter $q$ is not a root of unity.

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