Results 61 to 70 of about 23,334 (203)
On a subgroup of the affine Weyl group C˜4
International Journal of Mathematics and Mathematical Sciences, 2000 We study a subgroup of the affine Weyl group C˜4 and show that this subgroup is a homomorphic image of the triangle group Δ(3,4,4).
Muhammad A. Albar
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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
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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
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Advances in Mathematical Physics, 2011 We apply a special case, the restriction principle (for which we give a definition simpler than the usual one), of a basic result in functional analysis (the polar decomposition of an operator) in order to define 𝐶𝜇,𝑡, the 𝐶-version of the Segal-Bargmann
Stephen Bruce Sontz
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Spectra of graphs and the spectral criterion for property (T)
Electronic Journal of Graph Theory and Applications, 2017 For a finite connected graph $X$, we consider the graph $RX$ obtained from $X$ by associating a new vertex to every edge of $X$ and joining by edges the extremities of each edge of $X$ to the corresponding new vertex.
Alain Valette
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On Dubrovin Topological Field Theories
, 1993 I show that the new topological field theories recently associated by Dubrovin with each Coxeter group may be all obtained in a simple way by a ``restriction'' of the standard ADE solutions. I then study the Chebichev specializations of these topological
Zuber, J. -B.
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Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We give a description of finitely generated prosoluble subgroups of the profinite completion of 3‐manifold groups and toral relatively hyperbolic virtually compact special groups.
Lucas C. Lopes, Pavel A. Zalesskii
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Decomposition of Polyharmonic Functions with Respect to the Complex Dunkl Laplacian
Journal of Inequalities and Applications, 2010 Let Ω be a G-invariant convex domain in ℂN including 0, where G is a complex Coxeter group associated with reduced root system R⊂ℝN. We consider holomorphic functions f defined in Ω which are Dunkl polyharmonic, that
Guangbin Ren, Helmuth R. Malonek
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Affine descents and the Steinberg torus [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Let $W \ltimes L$ be an irreducible affine Weyl group with Coxeter complex $\Sigma$, where $W$ denotes the associated finite Weyl group and $L$ the translation subgroup. The Steinberg torus is the Boolean cell complex obtained by taking the quotient of $\
Kevin Dilks +2 more
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Diagrammatics for Coxeter groups and their braid groups
, 2017 We give a monoidal presentation of Coxeter and braid 2-groups, in terms of decorated planar graphs. This presentation extends the Coxeter presentation.
Elias, Ben, Williamson, Geordie
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