This paper proves that, among irreducible affine Weyl groups of rank at least two, every antipodal triple of ideal chambers is generic exactly for the types C2, G2, and B3.
On the linearity of lattices in affine buildings and ergodicity of the singular
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The geometry of triples of antipodal ideal chambers of affine buildings
This paper proves that, among irreducible affine Weyl groups of rank at least two, every antipodal triple of ideal chambers is generic exactly for the types C2, G2, and B3.