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The Submodule of Invariants « The Unapologetic Mathematician
https://unapologetic.wordpress.com/2012/09/21/the-submodule-of-invariants/
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algebra
lie algebras
representation theory
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If $latex V$ is a module of a Lie algebra $latex L$, there is one submodule that turns out to be rather interesting: the submodule $latex V^0$ of vectors $latex v\in V$ such that $latex x\cdot v=0$…