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Note on the expected number of Yang-Baxter moves applicable to reduced decompositions. (English) Zbl 1071.20003
Summary: The expected number of Yang-Baxter moves applicable to a reduced decomposition of the longest element in the symmetric group on \(n\) letters is observed to be 1, independent of \(n\).

20B30 Symmetric groups
05E10 Combinatorial aspects of representation theory
20P05 Probabilistic methods in group theory
Full Text: DOI
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