Results 11 to 20 of about 17,658 (187)
Conjugacy of Coxeter elements [PDF]
The Electronic Journal of Combinatorics, 2013 For a Coxeter group (W,S), a permutation of the set S is called a Coxeter word and the group element represented by the product is called a Coxeter element.
Eriksson, Henrik, Eriksson, Kimmo
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Coxeter element and particle masses [PDF]
Selecta Mathematica, 2016 To Joseph Bernstein on his 70th ...
Laura Brillon, Vadim Schechtman
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PARTITION FUNCTIONS, INTERTWINERS AND THE COXETER ELEMENT [PDF]
International Journal of Modern Physics A, 1993 The partition functions of Pasquier models on the cylinder, and the associated intertwiners, are considered. It is shown that earlier results due to Saleur and Bauer can be rephrased in a geometrical way, reminiscent of formulae found in certain purely elastic scattering theories.
Patrick Dorey
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Long fully commutative elements in affine Coxeter groups
, 2014 An element of a Coxeter group $W$ is called fully commutative if any two of its reduced decompositions can be related by a series of transpositions of adjacent commuting generators. In the preprint "Fully commutative elements in finite and affine Coxeter
Jouhet, Frédéric, Nadeau, Philippe
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Counting factorizations of Coxeter elements into products of reflections [PDF]
Journal of the London Mathematical Society, 2014 In this paper, we count factorizations of Coxeter elements in well-generated complex reflection groups into products of reflections. We obtain a simple product formula for the exponential generating function of such factorizations, which is expressed ...
Chapuy, Guillaume, Stump, Christian
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The centralizer of a Coxeter element
Bulletin of the London Mathematical Society, 2022 We prove that the centralizer of a Coxeter element in an irreducible Coxeter group is the cyclic group generated by that Coxeter element. © 2022 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.
Ruwen Hollenbach, Patrick Wegener
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Lyashko–Looijenga morphisms and submaximal factorizations of a Coxeter element [PDF]
Journal of Algebraic Combinatorics, 2012 18 pages. Version 2 : corrected typos and improved presentation. Version 3 : corrected typos, added illustrated example.
Vivien Ripoll
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A Refined Count of Coxeter Element Reflection Factorizations
The Electronic Journal of Combinatorics, 2018 For well-generated complex reflection groups, Chapuy and Stump gave a simple product for a generating function counting reflection factorizations of a Coxeter element by their length. This is refined here to record the numberof reflections used from each orbit of hyperplanes. The proof is case-by-case via the classification of well-generated groups. It
Elise delMas +2 more
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A refined count of Coxeter element factorizations [PDF]
, 2017 For well-generated complex reflection groups, Chapuy and Stump gave a simple product for a generating function counting reflection factorizations of a Coxeter element by their length. This is refined here to record the number of reflections used from each orbit of hyperplanes.
Elise delMas +2 more
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Freely Braided Elements in Coxeter Groups [PDF]
Annals of Combinatorics, 2002 18 pages, AMSTeX.
Green, R. M., Losonczy, J.
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