A lowering operator is a negative-root vector. Acting on a weight vector of weight μ either gives zero or a weight vector of weight μ−α.
Ancestors (10)
- Ladder operator
- Highest-weight representation
- Semisimple Lie algebra
- Lie algebra
- Lie theory
- Diagonal dominance
- Algebra
- Area of mathematics
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- Dominant root-lattice highest weights have zero weight
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- sl2 highest-weight lowering formula
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