A nonzero Lie algebra representation is irreducible when it has no proper nonzero invariant subspace.
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- Lie algebra representation
- Lie algebra homomorphism
- Lie algebra
- Lie theory
- Diagonal dominance
- Algebra
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- Casimir eigenvalue
- Freudenthal multiplicity formula
- Highest-weight classification of finite-dimensional semisimple Lie algebra modules
- Infinite-dimensional simple module for the two-dimensional affine Lie algebra
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