Results 51 to 60 of about 21,101 (195)
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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Hecke group algebras as degenerate affine Hecke algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 The Hecke group algebra $\operatorname{H} \mathring{W}$ of a finite Coxeter group $\mathring{W}$, as introduced by the first and last author, is obtained from $\mathring{W}$ by gluing appropriately its $0$-Hecke algebra and its group algebra.
Florent Hivert +2 more
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Angle-deformations in Coxeter groups
, 2008 The isomorphism problem for Coxeter groups has been reduced to its 'reflection preserving version' by B. Howlett and the second author. Thus, in order to solve it, it suffices to determine for a given Coxeter system (W,R) all Coxeter generating sets S of
Bernhard Mühlherr +4 more
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Presentations of the braid group of the complex reflection group G(d,d,n)$G(d,d,n)$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We show that the braid group associated to the complex reflection group G(d,d,n)$G(d,d,n)$ is an index d$d$ subgroup of the braid group of the orbifold quotient of the complex numbers by a cyclic group of order d$d$. We also give a compatible presentation of G(d,d,n)$G(d,d,n)$ and its braid group for each tagged triangulation of the disk with ...
Francesca Fedele, Bethany Rose Marsh
wiley +1 more source
Topology and its Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Variants of a theorem of Macbeath in finite‐dimensional normed spaces
Mathematika, Volume 72, Issue 2, April 2026.Abstract A classical theorem of Macbeath states that for any integers d⩾2$d \geqslant 2$, n⩾d+1$n \geqslant d+1$, d$d$‐dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by inscribed convex polytopes with n$n$ vertices.
Zsolt Lángi, Shanshan Wang
wiley +1 more source
On the Affine Weyl group of type A˜n−1
International Journal of Mathematics and Mathematical Sciences, 1987 We study in this paper the affine Weyl group of type A˜n−1, [1]. Coxeter [1] showed that this group is infinite. We see in Bourbaki [2] that A˜n−1 is a split extension of Sn, the symmetric group of degree n, by a group of translations and of lattice of ...
Muhammad A. Albar
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Special matchings in Coxeter groups
, 2016 Special matchings are purely combinatorial objects associated with a partially ordered set, which have applications in Coxeter group theory. We provide an explicit characterization and a complete classification of all special matchings of any lower ...
Caselli, Fabrizio, Marietti, Mario
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Discrete Mathematics & Theoretical Computer Science, 2012 We present a family of simplicial complexes called \emphmulti-cluster complexes. These complexes generalize the concept of cluster complexes, and extend the notion of multi-associahedra of types ${A}$ and ${B}$ to general finite Coxeter groups.
Cesar Ceballos +2 more
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Conjugacy of Coxeter elements [PDF]
, 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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