Results 11 to 20 of about 833 (53)
Commuting involution graphs for [(A)\tilde]n [PDF]
, 2006 In this article we consider the commuting graphs of involution conjugacy classes in the affine Weyl group A~n. We show that where the graph is connected the diameter is at most 6.
Hart, Sarah
core +1 more source
A note on non-reduced reflection factorizations of Coxeter elements [PDF]
, 2019 We extend a result of Lewis and Reiner from finite Coxeter groups to all Coxeter groups by showing that two reflection factorizations of a Coxeter element lie in the same Hurwitz orbit if and only if they share the same multiset of conjugacy classes ...
Wegener, Patrick, Yahiatene, Sophiane
core +3 more sources
Compactly supported cohomology of buildings [PDF]
, 2008 We compute the compactly supported cohomology of the standard realization of any locally finite building. MathematicsSubjectClassification(2010). Primary 20F65; Secondary 20E42, 20F55, 20J06, 57M07.
Michael W. Davis +4 more
semanticscholar +1 more source
Eulerian cube complexes and reciprocity [PDF]
, 2013 that G admits a suitable automatic structure, Gx.t/ can be shown to be a rational function. We prove that if Y is a manifold of dimension n, then this rational function satisfies the reciprocity formula Gx.t 1 /D. 1/ n Gx.t/.
R. Scott
semanticscholar +1 more source
Examples of buildings constructed via covering spaces [PDF]
, 2008 Covering space theory is used to construct new examples of buildings. Mathematics Subject Classification (2000). 20F65, 20F55, 20E42, 20J06, 51E24, 57M07.
Michael W. Davis
semanticscholar +1 more source
A Limit Relation for Dunkl-Bessel Functions of Type A and B [PDF]
, 2008 We prove a limit relation for the Dunkl-Bessel function of type $B_N$ with multiplicity parameters $k_1$ on the roots $\pm e_i$ and $k_2$ on $\pm e_i\pm e_j$ where $k_1$ tends to infinity and the arguments are suitably scaled.
Rösler, Margit, Voit, Michael
core +4 more sources
Parametrized braid groups of Chevalley groups. [PDF]
Documenta Mathematica, 2002 We introduce the notion of a braid group parametrized by a ring, which is defined by generators and relations and based on the geometric idea of painted braids.
J. Loday, M. R. Stein
semanticscholar +1 more source
Bounded Rank Subgroups of Coxeter Groups, Artin Groups and One‐Relator Groups with Torsion [PDF]
, 2002 We obtain a number of results regarding the freeness of subgroups of Coxeter groups, Artin groups and one‐relator groups with torsion. In the case of Coxeter groups, we also obtain results on quasiconvexity and subgroup separability.
Ilya Kapovich, P. Schupp
semanticscholar +1 more source
Signature, positive Hopf plumbing and the Coxeter transformation [PDF]
, 2016 By a theorem of A'Campo, the eigenvalues of certain Coxeter transformations are positive real or lie on the unit circle. By optimally bounding the signature of tree-like positive Hopf plumbings from below by the genus, we prove that at least two thirds ...
Liechti, Livio
core +2 more sources
Asymptotic behavior of word metrics on Coxeter groups.
Documenta Mathematica, 2011 We study the geometry of tessellation defined by the walls in the Moussong complex MW of a Coxeter group W . It is proved that geodesics in MW can be approximated by geodesic galleries of the tessellation.
G. A. Noskov
semanticscholar +1 more source