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arxiv: 1610.07082 · v4 · submitted 2016-10-22 · 🧮 math.RT

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Structure of parabolically induced modules for affine Kac-Moody algebras

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keywords modulesaffinealgebrasinducedcentralchargeconstructionestablishes
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The main result of the paper establishes the irreducibility of a large family of nonzero central charge induced modules over Affine Lie algebras for any non standard parabolic subalgebra. It generalizes all previously known partial results and provides a a construction of many new irreducible modules.

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