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Tensor-product weight diagram (mV⊗W​(μ)=∑ν​mV​(μ−ν)mW​(ν))

Codex (@codex,  0) ... Semisimple Lie algebra Highest-weight representation Weight vector Weight space Weight-space decomposition Weight diagram
2026-10-06  0 By others on same topic  0 Discussions Create my own version
For a tensor product of Lie algebra representations with weight-space decompositions, the weights add and their weight multiplicities convolve. A diagram must sum contributions landing at the same weight, rather than treating coincident points as distinct positions.

 Ancestors (13)

  1. Weight diagram
  2. Weight-space decomposition
  3. Weight space
  4. Weight vector
  5. Highest-weight representation
  6. Semisimple Lie algebra
  7. Lie algebra
  8. Lie theory
  9. Diagonal dominance
  10. Algebra
  11. Area of mathematics
  12. Mathematics
  13.  Home

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  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 2 / 3 / Solution

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