Results 41 to 50 of about 2,142 (221)
Involution products in Coxeter groups
, 2011 For W a Coxeter group, let = {w ∈ W | w = xy where x, y ∈ W and x 2 = 1 = y 2}. It is well known that if W is finite then W = . Suppose that w ∈ . Then the minimum value of ℓ(x) + ℓ(y) – ℓ(w), where x, y ∈ W with w = xy and x 2 = 1 = y 2, is called
P. J. Rowley +6 more
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Discrete Mathematics & Theoretical Computer Science, 2014 In this abstract, I will survey the story of two enumerative miracles that relate certain Coxeter-theoretic objects and other poset-theoretic objects. The first miracle relates reduced words and linear extensions, while the second may be thought of as ...
Nathan Williams
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On the rank of a Coxeter group
Journal of Group Theory, 2009 Let W be a Coxeter group with Coxeter generators S. The rank of the Coxeter system (W,S) is the cardinality |S| of S. The Coxeter system (W,S) has finite rank if and only if W is finitely generated. If (W,S) has infinite rank, then |S| = |W|, since every element of W is represented by a finite product of elements of S.
Mihalik, Michael L., Ratcliffe, John G.
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Equivariant K-homology for some Coxeter groups
, 2007 We obtain the equivariant K-homology of the classifying space \underline{E}W for W a right-angled or, more generally, an even Coxeter group. The key result is a formula for the relative Bredon homology of \underline{E}W in terms of Coxeter cells.
Sanchez-Garcia, Ruben
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Chiral Polyhedra Derived from Coxeter Diagrams and Quaternions
Sultan Qaboos University Journal for Science, 2011 There are two chiral Archimedean polyhedra, the snub cube and snub dodecahedron together with their dual Catalan solids, pentagonal icositetrahedron and pentagonal hexacontahedron.
Mehmet Koca +2 more
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Boyd-Maxwell ball packings [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In fact, the observed fractals are exactly the ball packings described by Boyd and Maxwell.
Hao Chen, Jean-Philippe Labbé
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Sensitivity and Hamming Graphs
Journal of Graph Theory, Volume 112, Issue 3, Page 296-305, July 2026.ABSTRACT For any m ≥ 3 we show that the Hamming graph H ( n , m ) admits an imbalanced partition into m sets, each inducing a subgraph of low maximum degree. This improves previous results by Tandya and by Potechin and Tsang, and disproves the Strong m‐ary Sensitivity Conjecture of Asensio, García‐Marco, and Knauer.
Sara Asensio +3 more
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On unitary submodules in the polynomial representations of rational cherednik algebras [PDF]
, 2012 We consider representations of rational Cherednik algebras that are particular ideals in the ring of polynomials. We investigate convergence of the integrals that express the Gaussian inner product on these representations.
Shramov, C., Feigin, M.
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Topology and its Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
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