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Fusion and Convolution: Applications to Affine Kac-Moody Algebras at the Critical Level

Fusion and Convolution: Applications to Affine Kac-Moody Algebras at the Critical Level

Let g be a semi-simple Lie algebra, and let g be the corresponding affine Kac-Moody algebra.Consider the category of g-modules at the critical level, on which the action of the Iwahori subalgebra integrates to an algebraic action of the Iwahori subgroup I ⊂ G((t)).We study the convolution functors on this …