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- Tags: - #todo/untagged - Refs: - #todo/add-references - Links: - representation theory
adjoint representation
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- Tags: - #todo/untagged - Refs: - #todo/add-references - Links: - representation theory
If \(V\) is the adjoint representation of \({\mathfrak{g}}\), then the weights are roots and form a root system.
- Tags: - #lie-theory - Refs: - #todo/add-references - Links: - Lie group - Coxeter number - adjoint representation - Weight/root theory: - Unsorted/highest weight - dominant weight - fundamental weights - weight lattice - root