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Forums
Mathematics
Linear and Abstract Algebra
Highest weight of representations of Lie Algebras
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[QUOTE="fresh_42, post: 6156196, member: 572553"] You need to say semisimple or simple Lie algebra! Here's an example of how to construct the root spaces from the Dynkin diagram, or the Cartan matrix: [URL]https://www.physicsforums.com/insights/lie-algebras-a-walkthrough-the-structures/[/URL] I think highest weight is in general a bit more complicated. ##\mathfrak{sl}(2)## is easy, but with more than one strain of roots it becomes more complex. I would look it up in books, e.g. Humphreys. [/QUOTE]
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Forums
Mathematics
Linear and Abstract Algebra
Highest weight of representations of Lie Algebras
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