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Bounded Bruhat intervals and affine Coxeter groups

Barkley, Grant T. et al.
arXiv (All) · Papers
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05e1006a0720f55combinatoricsrepresentation-theory
Dyer (1991) proved that, for each fixed length $k$, only finitely many isomorphism types of Bruhat intervals occur in finite Coxeter groups. In this short paper, we prove that this result holds also for affine Coxeter groups, and moreover that this characterizes the affine groups among all infinite
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