Results 91 to 100 of about 21,101 (195)
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
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 +5 more
doaj +1 more source
Balance constants for Coxeter groups
, 2020 The $1/3$-$2/3$ Conjecture, originally formulated in 1968, is one of the best-known open problems in the theory of posets, stating that the balance constant (a quantity determined by the linear extensions) of any non-total order is at least $1/3$.
Gaetz, Christian, Gao, Yibo
core
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 +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
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
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
Coxeter Groups and Wavelet Sets
, 2007 A traditional wavelet is a special case of a vector in a separable Hilbert space that generates a basis under the action of a system of unitary operators defined in terms of translation and dilation operations.
Larson, David, Massopust, Peter
core +3 more sources
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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From Coxeter higher-spin theories to strings and tensor models
Journal of High Energy Physics, 2018 A new class of higher-spin gauge theories associated with various Coxeter groups is proposed. The emphasize is on the B p -models. The cases of B 1 and its infinite graded-symmetric product sym (×B 1)∞ correspond to the usual higher-spin theory and its ...
M. A. Vasiliev
doaj +1 more source