Freely Braided Elements in Coxeter Groups, Ii

@inproceedings{Green2003FreelyBE,
  title={Freely Braided Elements in Coxeter Groups, Ii},
  author={R. M. Green},
  year={2003}
}
We continue the study of freely braided elements of simply laced Coxeter groups, which we introduced in a previous work. A known upper bound for the number of commutation classes of reduced expressions for an element of a simply laced Coxeter group is shown to be achieved only when the element is freely braided; this establishes the converse direction of a previous result. It is also shown that a simply laced Coxeter group has finitely many freely braided elements if and only if it has finitely… CONTINUE READING

From This Paper

Topics from this paper.
4 Citations
2 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-2 of 2 references

Nilpotent orbits and commutative elements

  • J. R. Stembridge
  • J . Algebra
  • 1995

Stembridge , On the fully commutative elements of Coxeter groups

  • R. J.
  • J . Algebraic Combin .
  • 1964

Similar Papers

Loading similar papers…