Extended Affine Root Systems III ( Elliptic Weyl Groups )

@inproceedings{SaitoExtendedAR,
  title={Extended Affine Root Systems III ( Elliptic Weyl Groups )},
  author={Kyoji Saito and Tadayoshi Takebayashi}
}
We give a representation of an elliptic Weyl group W (R) (= the Weyl group for an elliptic root system∗) R) in terms of the elliptic Dynkin diagram Γ(R, G) for the elliptic root system. The representation is a generalization of a Coxeter system: the generators are in one to one correspondence with the vertices of the diagram and the relations consist of two… CONTINUE READING