Results 91 to 100 of about 21,830 (196)

Automorphisms of the generalized cluster complex

The American Journal of Combinatorics
We exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex.
Matthieu Josuat-Vergès
doaj   +1 more source

Property (T) for groups acting on affine buildings

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3151-3162, October 2025.
Abstract We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.
Izhar Oppenheim
wiley   +1 more source

Embedding products of trees into higher rank

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We show that there exists a quasi‐isometric embedding of the product of n$n$ copies of HR2$\mathbb {H}_{\mathbb {R}}^2$ into any symmetric space of non‐compact type of rank n$n$, and there exists a bi‐Lipschitz embedding of the product of n$n$ copies of the 3‐regular tree T3$T_3$ into any thick Euclidean building of rank n$n$ with co‐compact ...
Oussama Bensaid, Thang Nguyen
wiley   +1 more source

A Diagrammatic Temperley-Lieb Categorification

International Journal of Mathematics and Mathematical Sciences, 2010
The monoidal category of Soergel bimodules categorifies the Hecke algebra of a finite Weyl group. In the case of the symmetric group, morphisms in this category can be drawn as graphs in the plane.
Ben Elias
doaj   +1 more source

Reflections and quotients in Coxeter groups

Comptes Rendus. Mathématique
We present a formula relating the set of left descents of an element of a Coxeter group with the sets of left descents of its projections on maximal quotients indexed by simple right descents.
Sentinelli, Paolo
doaj   +1 more source

On Minimal Covolume Hyperbolic Lattices

Mathematics, 2017
We study lattices with a non-compact fundamental domain of small volume in hyperbolic space H n . First, we identify the arithmetic lattices in Isom + H n of minimal covolume for even n up to 18.
Ruth Kellerhals
doaj   +1 more source

Automorphisms of Right-Angled Coxeter Groups

International Journal of Mathematics and Mathematical Sciences, 2008
If (𝑊,𝑆) is a right-angled Coxeter system, then Aut(𝑊) is a semidirect product of the group Aut∘(𝑊) of symmetric automorphisms by the automorphism group of a certain groupoid. We show that, under mild conditions, Aut∘(𝑊) is a semidirect product of Inn(𝑊)
Mauricio Gutierrez, Anton Kaul
doaj   +1 more source

Cusp Density and Commensurability of Non-arithmetic Hyperbolic Coxeter Orbifolds. [PDF]

Discrete Comput Geom, 2023
Dotti E, Drewitz ST, Kellerhals R.
europepmc   +1 more source

Programmable Self-Assembly of Nanoplates into Bicontinuous Nanostructures. [PDF]

ACS Nano, 2023
Tanaka H, Dotera T, Hyde ST.
europepmc   +1 more source

Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle

Symmetry, Integrability and Geometry: Methods and Applications, 2013
A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle.
Micho Đurđevich, Stephen Bruce Sontz
doaj   +1 more source