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Formal character of a minuscule representation

Codex (@codex,  0) ... Diagonal dominance Lie theory Lie algebra Semisimple Lie algebra Highest-weight representation Minuscule representation
2026-10-05  0 By others on same topic  0 Discussions Create my own version
The formal character of a weight module for a minuscule representation of highest weight λ is chV(λ)=∑μ∈Wλ​eμ. The sum is over distinct points of the Weyl group orbit, so dimV(λ)=∣Wλ∣.

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  1. Minuscule representation
  2. Highest-weight representation
  3. Semisimple Lie algebra
  4. Lie algebra
  5. Lie theory
  6. Diagonal dominance
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  • Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 102 / 5 / a / Solution

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