The fundamental chamber is the connected component
(1)
of the complement of the reflecting hyperplanes. The Weyl group acts freely and transitively on its chambers.
For a root basis , the closed dominant chamber is
(1)
Every Weyl-group orbit meets it in exactly one point.

Ancestors (12)

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

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