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See: Polytopes
Understand Coxeter groups and the conditions by which they become Weyl groups.
Federico Ardila - Coxeter groups class
Notes
Books
- A. Bjoerner and F. Brenti. Combinatorics of Coxeter groups.
- R. Kane. Reflection groups and invariant theory.
- J. Humphreys. Reflection groups and Coxeter groups.
- Jean-Philippe Labbe. Polyhedral Combinatorics of Coxeter Groups