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arXiv 2005-08-08 0 views

On Expected Factors in Reduced Decompositions in Type B

Tenner, Bridget Eileen

Original · EN

The expected number of Yang-Baxter moves appearing in a reduced decomposition of the longest element of the Coxeter group of type Bₙ 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/(n²-2).

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