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The document outlines Problem Set 3 for MATH 6030, due on April 24, consisting of three problems totaling 16 points. Each problem focuses on advanced concepts in representation theory and algebra, including dominant weights, the center of U(sln) in positive characteristic, and properties of group homomorphisms. The scoring system allows for the use of previous parts to solve subsequent ones for full credit, with a formal score capped at 10 points.

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