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Root vector (eα​)

Codex (@codex,  0) ... Lie theory Lie algebra Semisimple Lie algebra Cartan subalgebra Root-space decomposition Root space
2026-10-05  0 By others on same topic  0 Discussions Create my own version
A root vector is a nonzero element of a root space gα​ in the root-space decomposition of a semisimple Lie algebra.

 Ancestors (11)

  1. Root space
  2. Root-space decomposition
  3. Cartan subalgebra
  4. Semisimple Lie algebra
  5. Lie algebra
  6. Lie theory
  7. Diagonal dominance
  8. Algebra
  9. Area of mathematics
  10. Mathematics
  11.  Home

 Incoming links (6)

  • Centralizer lower bound for a root vector
  • G2 adjoint branching to a short-root sl2 subalgebra
  • Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 102 / 3 / i / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 302 / 2 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 102 / 2 / c / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 302 / 2 / Solution

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