Results 101 to 110 of about 2,142 (221)

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

A Clifford Algebraic Framework for Coxeter Group Theoretic Computations [PDF]

, 2014
Real physical systems with reflective and rotational symmetries such as viruses, fullerenes and quasicrystals have recently been modeled successfully in terms of three-dimensional (affine) Coxeter groups.
Dechant, Pierre-Philippe
core   +1 more source

A note on element centralizers in finite Coxeter groups

, 2011
The normalizer NW (WJ ) of a standard parabolic subgroup WJ of a finite Coxeter group W splits over the parabolic subgroup with complement NJ consisting of certain minimal length ...
Matjaž Konvalinka, Götz Pfeiffer, Pfeiffer, Götz, Konvalinka, Matjaž, Claas E. Röver, Röver, Claas E.   +5 more
core   +2 more sources

A unified construction of Coxeter group representations

, 2006
An elementary approach to the construction of Coxeter group representations is presented. (C) 2006 Elsevier Inc.
Roichman, Yuval, Roichman, Y., Adin, Ron M., Brenti, Francesco, Brenti, F, Adin, RM, Roichman, Y   +6 more
core   +1 more source

Higher Signs for Coxeter Groups

, 2021
We define and study cocycles on a Coxeter group in each degree generalizing the sign function. When the Coxeter group is a Weyl group, we explain how the degree three cocycle arises naturally from geometric representation ...
Yun, Zhiwei
core   +1 more source

Conjugacy of Coxeter elements

, 2009
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. Moving the first letter to the end of the word is called a rotation and two Coxeter elements are
Eriksson, Henrik,, Eriksson, Kimmo,
core  

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

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

A Transducer Approach to Coxeter Groups

Journal of Symbolic Computation, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Tits alternatives for graph products

, 2015
We discuss various types of Tits Alternative for subgroups of graph products of groups, and prove that, under some natural conditions, a graph product of groups satisfies a given form of Tits Alternative if and only if each vertex group satisfies this ...
Antolin, Yago, Minasyan, Ashot
core   +1 more source