On Expected Factors in Reduced Decompositions in Type B

Details On Expected Factors in Reduced Decompositions in Type B On Expected Factors in Reduced Decompositions in Type B

2005-08-08

arxiv.org/abs/math/0508153v1

Mathematics

Combinatorics

8 pages; 4 figures

Scientific paper

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).

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