×

zbMATH — the first resource for mathematics

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 \(n\).

MSC:
20B30 Symmetric groups
05E10 Combinatorial aspects of representation theory
20P05 Probabilistic methods in group theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Ingram, R., Some characters of the symmetric group, Proc. amer. math. soc., 1, 358-369, (1950) · Zbl 0054.01103
[2] Stanley, R.P., Enumerative combinatorics vol. 2, () · Zbl 1247.05003
[3] Stanley, R.P., On the number of reduced decompositions of elements of Coxeter groups, European J. combin., 5, 359-372, (1984) · Zbl 0587.20002
[4] Suzuki, M., The values of irreducible characters of the symmetric group, AMS proc. symp. pure math., 47, 2, 317-319, (1987)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.