The highest weight of a highest-weight representation is the weight of a generating vector annihilated by every positive-root operator. Finite-dimensional irreducible representations of a complex semisimple Lie algebra are classified by dominant integral highest weights.

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  1. Highest-weight representation
  2. Semisimple Lie algebra
  3. Lie algebra
  4. Lie theory
  5. Diagonal dominance
  6. Algebra
  7. Area of mathematics
  8. Mathematics
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