On Expected Factors in Reduced Decompositions in Type B
Combinatorics
2007-05-23 v1
Abstract
The expected number of Yang-Baxter moves appearing in a reduced decomposition of the longest element of the Coxeter group of type B_n is computed to be 2-4/n. For the same element, the expected number of 0101 or 1010 factors appearing in a reduced decomposition is 2/(n^2-2).
Cite
@article{arxiv.math/0508153,
title = {On Expected Factors in Reduced Decompositions in Type B},
author = {Bridget Eileen Tenner},
journal= {arXiv preprint arXiv:math/0508153},
year = {2007}
}
Comments
8 pages; 4 figures