Abstract
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.
Original language | English (US) |
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Pages (from-to) | 1019-1021 |
Number of pages | 3 |
Journal | European Journal of Combinatorics |
Volume | 26 |
Issue number | 6 SPEC. ISS. |
DOIs | |
State | Published - Jul 2005 |
Bibliographical note
Funding Information:Thanks to David Gillman for suggesting Conjecture 2 based on preliminary data, and to an anonymous referee for helpful comments. Supported by NSF grant DMS9877047.
Keywords
- Poisson
- Reduced decomposition
- Reduced word
- Symmetric group
- Yang-Baxter