Results 91 to 100 of about 3,228 (247)
k-Parabolic Subspace Arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 In this paper, we study k-parabolic arrangements, a generalization of the k-equal arrangement for any finite real reflection group. When k=2, these arrangements correspond to the well-studied Coxeter arrangements.
Christopher Severs, Jacob White
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On a duality in Coxeter groups
European Journal of Combinatorics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups
Journal of Group Theory, 2023 Abstract By definition, a group is called narrow if it does not contain a copy of a non-abelian free group. We describe the structure of finite and narrow normal subgroups in Coxeter groups and their automorphism groups.
Paris, Luis, Varghese, Olga
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On higher Jacobians, Laplace equations, and Lefschetz properties
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida +2 more
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Some remarks on the algebraic structure of the finite Coxeter group F4
International Journal of Mathematics and Mathematical Sciences, 1999 We consider in this paper the algebraic structure and some properties of the finite Coxeter group F4.
Muhammad A. Albar, Norah Al-Saleh
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Symmetry of the Pyritohedron and Lattices
Sultan Qaboos University Journal for Science, 2016 The pyritohedron consisting of twelve identical but non regular pentagonal faces and its dual pseudoicosahedron that possess the pyritohedral (Th) symmetry play an essential role in understanding the crystallographic structures with the pyritohedral ...
Nazife O. Koca +3 more
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How to get the weak order out of a digraph ? [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We construct a poset from a simple acyclic digraph together with a valuation on its vertices, and we compute the values of its Möbius function. We show that the weak order on Coxeter groups $A$$n-1$, $B$$n$, $Ã$$n$, and the flag weak order on the wreath ...
Francois Viard
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Journal of Algebra, 2013 The purpose of this article is to shed new light on the combinatorial structure of Kazhdan-Lusztig cells in infinite Coxeter groups $W$. Our main focus is the set $\D$ of distinguished involutions in $W$, which was introduced by Lusztig in one of his first papers on cells in affine Weyl groups.
Belolipetsky, M, Gunnells, PE
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Torsion classes of extended Dynkin quivers over commutative rings
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
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Geometry of right-angled Coxeter groups on the Croke–Kleiner spaces [PDF]
, 2016 In this paper we study the right-angled Coxeter groups that acts geometrically on the Salvetti complex of a certain right-angled Artin group, which we refer to as Croke–Kleiner spaces.
Yulan Qing
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