Results 91 to 100 of about 17,658 (187)
Semidirect product decomposition of Coxeter groups
, 2008 Let $(W,S)$ be a Coxeter system, let $S=I \dot{\cup} J$ be a partition of $S$ such that no element of $I$ is conjugate to an element of $J$, let $\widetilde{J}$ be the set of $W_I$-conjugates of elements of $J$ and let $\widetilde{W}$ be the subgroup of $
Bonnafé, Cédric, Dyer, Matthew J.
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The action of a Coxeter element on an affine root system [PDF]
, 2020 Nathan Reading, Salvatore Stella
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Powers of Coxeter elements in infinite groups are reduced [PDF]
Proceedings of the American Mathematical Society, 2008 Let W W be an infinite irreducible Coxeter group with ( s 1 , … , s n ) (s_1, \ldots , s_n) the simple generators. We give a short proof that the word s 1 s 2
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Conjugacy classes and straight elements in Coxeter groups
Journal of Algebra, 2014 Let W be a Coxeter group. In this paper, we establish that, up to going to some finite index normal subgroup W_0 of W, any two cyclically reduced expressions of conjugate elements of W_0 only differ by a sequence of braid relations and cyclic shifts. This thus provides a simple description of conjugacy classes in W_0.
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Cusp Density and Commensurability of Non-arithmetic Hyperbolic Coxeter Orbifolds. [PDF]
Discrete Comput Geom, 2023 Dotti E, Drewitz ST, Kellerhals R.
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Realism and the point at infinity: The end of the line? [PDF]
Synthese, 2023 Parkinson-Coombs O, Núñez R.
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Programmable Self-Assembly of Nanoplates into Bicontinuous Nanostructures. [PDF]
ACS Nano, 2023 Tanaka H, Dotera T, Hyde ST.
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Lyashko-Looijenga morphisms and primitive factorizations of the Coxeter element [PDF]
, 2018 Theo Douvropoulos
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Polyhedral models for generalized associahedra via Coxeter elements [PDF]
Journal of Algebraic Combinatorics, 2012 Motivated by the theory of cluster algebras, F. Chapoton, S. Fomin and A. Zelevinsky associated to each finite type root system a simple convex polytope called \emph{generalized associahedron}. They provided an explicit realization of this polytope associated with a bipartite orientation of the corresponding Dynkin diagram.
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Symmetrical distributions of aminoacyl-tRNA synthetases during the evolution of the genetic code. [PDF]
Theory Biosci, 2023 José MV +3 more
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