A composition factor is an irreducible successive quotient in a composition series of a module. For a finite-dimensional complex Lie algebra representation and a central Casimir operator, its scalar on a composition factor is an eigenvalue of the operator on the original Lie algebra representation.
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- Composition series of a module
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- Casimir splitting of a trivial quotient
- Characteristic-three Specht module for the two-by-two partition
- Classification of finite simple groups
- Jordan–Hölder theorem for modules
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- Subdirect product of pairwise nonisomorphic simple modules
- Subgroup correspondence theorem
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