Lecture
Connected groups of semisimple elements
Description
This lecture explores the weight space decomposition of vector spaces with respect to representations, showing how a vector space can be decomposed into weight spaces. It then delves into the proposition that a connected linear algebraic group with all elements being semi-simple must be a torus, proving this by demonstrating that the torus is contained in the center of the group.
Official source
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Ontological neighbourhood
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