Results 121 to 130 of about 3,228 (247)

Lattice models, cylinder partition functions, and the affine coxeter element [PDF]

, 1998
The partition functions of the affine Pasquier models on the cylinder are calculated in the continuum limit. The partition functions of the models based upon the Â(_n) cycle graphs are first found from the appropriate Coulomb-gas equivalence.
Talbot, Robert Paul Thomas
core  

Integrable Families of Hard-Core Particles with Unequal Masses in a One-Dimensional Harmonic Trap

Physical Review X, 2017
We show that the dynamics of particles in a one-dimensional harmonic trap with hard-core interactions can be solvable for certain arrangements of unequal masses.
N. L. Harshman, Maxim Olshanii, A. S. Dehkharghani, A. G. Volosniev, Steven Glenn Jackson, N. T. Zinner   +5 more
doaj   +1 more source

The Sorting Order on a Coxeter Group [PDF]

Discrete Mathematics & Theoretical Computer Science, 2008
Let $(W,S)$ be an arbitrary Coxeter system. For each sequence $\omega =(\omega_1,\omega_2,\ldots) \in S^{\ast}$ in the generators we define a partial order― called the $\omega \mathsf{-sorting order}$ ―on the set of group elements $W_{\omega} \subseteq W$ that occur as finite subwords of $\omega$ .
openaire   +6 more sources

Equivariant Hilbert and Ehrhart series under translative group actions

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
wiley   +1 more source

On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms

, 2013
We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2) triangles, are conjugacy separable. In particular, this applies to all right-angled Coxeter groups or word hyperbolic even Coxeter groups. For an arbitrary Coxeter group W, we
Caprace, Pierre-Emmanuel, Minasyan, Ashot   +1 more
core  

On Embeddability of Coxeter Groups into the Riordan Group

The American Mathematical Monthly
We discuss examples of linear representations of finite groups as subgroups of the Riordan group. In particular, we show that the symmetric group of degree three has no faithful representation as a subgroup of the Riordan group over the complex numbers, but can be embedded as a subgroup of the Riordan group over a field of characteristic three.
Tian-Xiao He, Nikolai A. Krylov
openaire   +2 more sources

On Bipartite Biregular Large Graphs Derived From Difference Sets

Journal of Graph Theory, Volume 110, Issue 2, Page 174-181, October 2025.
ABSTRACT A bipartite graph G = ( V , E ) with V = V 1 ∪ V 2 is biregular if all the vertices of each stable set, V 1 and V 2, have the same degree, r and s, respectively. This paper studies difference sets derived from both Abelian and non‐Abelian groups.
Gabriela Araujo‐Pardo, Cristina Dalfó, Miquel Àngel Fiol, Nacho López   +3 more
wiley   +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

Coxeter groups, quiver mutations and hyperbolic manifolds

, 2020
Mutations of quivers were introduced by Fomin and Zelevinsky in the beginning of 2000's in the context of cluster algebras. Since then, mutations appear (sometimes completely unexpectedly) in various domains of mathematics and physics. Using mutations of
Felikson, Anna
core  

Infinite groups with fixed point properties

, 2007
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of Hausdorff spaces of finite covering dimension which are mod–p acyclic for at least one prime p.
G. Arzhantseva, T. Januszkiewicz, Arzhantseva, Goulnara, I. J. Leary, Minasyan, Ashot, A. Minasyan, Bridson, MR, Januszkiewicz, T, J. Świa̧tkowski, Bridson, Martin R., Leary, IJ, Swiatkowski, J, Bridson, Martin Robert, Ian J Leary, Martin R Bridson, ASHOT MINASYAN, JACEK ŚWIA̧TKOWSKI, et al., Januszkiewicz, Tadeusz, Leary, Ian J., Bridson, Martin, Arzhantseva, Goulnara N., Minasyan, A, Swiatkowski, Jacek, Arzhantseva, G, M. R. Bridson   +23 more
core   +1 more source