Note on the expected number of Yang-Baxter moves applicable to reduced decompositions

Victor Reiner

doi:10.1016/j.ejc.2004.06.010

Note on the expected number of Yang-Baxter moves applicable to reduced decompositions

Victor Reiner

School of Mathematics

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19 Scopus citations

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)
Pages (from-to)	1019-1021
Number of pages	3
Journal	European Journal of Combinatorics
Volume	26
Issue number	6 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.ejc.2004.06.010
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

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10.1016/j.ejc.2004.06.010

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title = "Note on the expected number of Yang-Baxter moves applicable to reduced decompositions",

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.",

keywords = "Poisson, Reduced decomposition, Reduced word, Symmetric group, Yang-Baxter",

author = "Victor Reiner",

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.",

year = "2005",

month = jul,

doi = "10.1016/j.ejc.2004.06.010",

language = "English (US)",

volume = "26",

pages = "1019--1021",

journal = "European Journal of Combinatorics",

issn = "0195-6698",

publisher = "Academic Press",

number = "6 SPEC. ISS.",

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T1 - Note on the expected number of Yang-Baxter moves applicable to reduced decompositions

AU - Reiner, Victor

N1 - 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.

PY - 2005/7

Y1 - 2005/7

N2 - 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.

AB - 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.

KW - Poisson

KW - Reduced decomposition

KW - Reduced word

KW - Symmetric group

KW - Yang-Baxter

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M3 - Article

AN - SCOPUS:14644400527

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VL - 26

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EP - 1021

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 6 SPEC. ISS.

ER -

Note on the expected number of Yang-Baxter moves applicable to reduced decompositions

Abstract

Bibliographical note

Keywords

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