Results 1 to 10 of about 21,101 (195)
Twist-rigid Coxeter groups [PDF]
Geometry & Topology, 2009 We prove that two angle-compatible Coxeter generating sets of a given finitely generated Coxeter group are conjugate provided one of them does not admit any elementary twist.
Bourbaki +3 more
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Arithmetic of arithmetic Coxeter groups. [PDF]
Proc Natl Acad Sci U S A, 2019 Significance Conway’s topograph provided a combinatorial-geometric perspective on integer binary quadratic forms—quadratic functions of two variables with integer coefficients. This perspective is practical for solving equations and easily bounds the minima of binary quadratic forms.
Milea S, Shelley CD, Weissman MH.
europepmc +7 more sources
Symmetric Presentations of Coxeter Groups [PDF]
Proceedings of the Edinburgh Mathematical Society, 2011 We apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is the Coxeter groups of types An, Dn and En, and show that these are naturally arrived at purely ...
Ben Fairbairn +7 more
core +4 more sources
Coxeter groups and random groups [PDF]
, 2015 For every dimension d, there is an infinite family of convex co-compact reflection groups of isometries of hyperbolic d-space --- the superideal (simplicial and cubical) reflection groups --- with the property that a random group at any density less than
Calegari, Danny
core +3 more sources
Parabolic double cosets in Coxeter groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Parabolic subgroups WI of Coxeter systems (W,S) and their ordinary and double cosets W/WI and WI\W/WJ appear in many contexts in combinatorics and Lie theory, including the geometry and topology of generalized flag varieties and the symmetry groups of ...
Sara Billey +4 more
doaj +1 more source
Shadows in Coxeter Groups [PDF]
Annals of Combinatorics, 2020 AbstractFor a givenwin a Coxeter groupW, the elementsusmaller thanwin Bruhat order can be seen as the end alcoves of stammering galleries of typewin the Coxeter complex$$\Sigma $$Σ. We generalize this notion and consider sets of end alcoves of galleries that are positively folded with respect to certain orientation$$\phi $$ϕof$$\Sigma $$Σ.
Graeber, Marius, Schwer, Petra
openaire +6 more sources
Interval groups related to finite Coxeter groups Part II
Transactions of the London Mathematical Society, 2023 We provide a complete description of the presentations of the interval groups related to quasi‐Coxeter elements in finite Coxeter groups. In the simply laced cases, we show that each interval group is the quotient of the Artin group associated with the ...
Barbara Baumeister +3 more
doaj +1 more source
Extending the weak order on Coxeter groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We introduce a new family of complete lattices, arising from a digraph together with a valuation on its vertices and generalizing a previous construction of the author.
Francois Viard
doaj +1 more source
On non-conjugate Coxeter elements in well-generated reflection groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Given an irreducible well-generated complex reflection group $W$ with Coxeter number $h$, we call a Coxeter element any regular element (in the sense of Springer) of order $h$ in $W$; this is a slight extension of the most common notion of Coxeter ...
Victor Reiner +2 more
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Incoherent Coxeter Groups [PDF]
Proceedings of the American Mathematical Society, 2016 10 pages, 2 ...
Jankiewicz, Kasia, Wise, Daniel T.
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