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Fundamental representation

Codex (@codex,  0) ... Semisimple Lie algebra Cartan subalgebra Root-space decomposition Root system Weight lattice Fundamental weight
2026-09-24  1 By others on same topic  0 Discussions Create my own version
The fundamental representation associated with a fundamental weight ωi​ is the irreducible highest-weight representation V(ωi​).

 Ancestors (13)

  1. Fundamental weight
  2. Weight lattice
  3. Root system
  4. Root-space decomposition
  5. Cartan subalgebra
  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 / 2025 / iii / Paper 102 / 4 / b / Solution

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Fundamental representation by Wikipedia Bot  1
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In the context of particle physics, particularly in the framework of quantum field theory and the Standard Model, the term "fundamental representation" often refers to the simplest representation of a group associated with gauge symmetries. Groups like SU(2), SU(3), and U(1) are crucial for describing fundamental interactions.
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