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Bad upward elements in infinite Coxeter groups
advg, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Perkins, Sarah B., Rowley, Peter J.
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Elements of Order Coxeter Number +1 in Chevalley Groups
Canadian Journal of Mathematics, 1982Following the notation and the definitions in [1], let L(K) be the Chevalley group of type L over a field K, W the Weyl group of L and h the Coxeter number, i.e., the order of Coxeter elements of W. In a letter to the author, John McKay asked the following question: If h + 1 is a prime, is there an element of order h + 1 in L(C)?
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Symmetrical maps arising from regular coxeter elements of linear groups
Geometriae Dedicata, 1988Let \(\Gamma\) be the group \(SL(2n+1,q)\), where q is an odd prime power, with trivial center. Taking \(\Lambda\) and \(\Lambda\) ' to be conjugacy classes of \(\Gamma\), the author constructs a finite connected graph \(G=G(V,E)\) with vertex set \(V=\Lambda\) and edges \((\gamma_ 1,\gamma_ 2)\in E\) precisely when \(\gamma_ 1\gamma_ 2\in \Lambda '.\)
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Lyashko–Looijenga morphisms and primitive factorizations of Coxeter elements
Mathematische AnnalenThis paper investigates the enumeration and structural properties of primitive factorizations of Coxeter elements in irreducible, well-generated, complex reflection groups. The study builds upon \textit{D. Bessis}' interpretation of the noncrossing lattice \(\mathrm{NC}(W)\) as a geometric object associated with the Lyashko-Looijenga (LL) morphism [Ann.
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Coxeter submodular functions and deformations of Coxeter permutahedra
Advances in Mathematics, 2020Federico Ardila
exaly
Chiral Gold Nanowires with Boerdijk–Coxeter–Bernal Structure
Journal of the American Chemical Society, 2014Yi-Han Zhu, Cheng Shang, Zhi-Pan Liu
exaly
The Longest Element and Duality in Finite Coxeter Groups
Cédric Bonnafé
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