Computing reflection length in an affine Coxeter group

@article{Lewis2010ComputingRL,
  title={Computing reflection length in an affine Coxeter group},
  author={J. Lewis and Jon McCammond and T. Petersen and Petra Schwer},
  journal={Transactions of the American Mathematical Society},
  year={2010},
  volume={371},
  pages={4097-4127}
}
  • J. Lewis, Jon McCammond, +1 author Petra Schwer
  • Published 2010
  • Mathematics
  • Transactions of the American Mathematical Society
  • In any Coxeter group, the conjugates of elements in its Coxeter generating set are called reflections and the reflection length of an element is its length with respect to this expanded generating set. In this article we give a simple formula that computes the reflection length of any element in any affine Coxeter group and we provide a simple uniform proof. 

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 32 REFERENCES
    Reflection length in non-affine Coxeter groups
    6
    Bounding reflection length in an affine Coxeter group
    14
    Reflection groups and coxeter groups
    2289
    Affine Weyl Groups as Infinite Permutations
    45
    Affine Weyl Groups as Infinite Permutations
    45