Modular Moonshine III
classification
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monsteralgebracohomologymodularmoonshineactingapplyingcalculate
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In this paper we complete the proof of Ryba's modular moonshine conjectures. We do this by applying Hodge theory to the cohomology of the monster Lie algebra over the ring of p-adic integers in order to calculate the Tate cohomology groups of elements of the monster acting on the monster vertex algebra.
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