Results 41 to 50 of about 23,334 (203)
Matching theorems for systems of a finitely generated Coxeter group
, 2006 In this paper we prove a series of matching theorems for two sets of Coxeter generators of a finitely generated Coxeter group that identify common features of the two sets of generators.
Bourbaki +10 more
core +2 more sources
Torsion classes of extended Dynkin quivers over commutative rings
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
wiley +1 more source
Boyd-Maxwell ball packings [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In fact, the observed fractals are exactly the ball packings described by Boyd and Maxwell.
Hao Chen, Jean-Philippe Labbé
doaj +1 more source
Some remarks on the algebraic structure of the finite Coxeter group F4
International Journal of Mathematics and Mathematical Sciences, 1999 We consider in this paper the algebraic structure and some properties of the finite Coxeter group F4.
Muhammad A. Albar, Norah Al-Saleh
doaj +1 more source
Combination theorems for Wise's power alternative
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
wiley +1 more source
Linearized Coxeter higher-spin theories
Journal of High Energy PhysicsA class of higher-spin gauge theories on AdS 4 associated with various Coxeter groups C $$ \mathcal{C} $$ is analyzed at the linear order. For a general C $$ \mathcal{C} $$ , a solution corresponding to the AdS 4 space and the form of the free unfolded ...
A. A. Tarusov +2 more
doaj +1 more source
Symmetries of Spin Calogero Models
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We investigate the symmetry algebras of integrable spin Calogero systems constructed from Dunkl operators associated to finite Coxeter groups. Based on two explicit examples, we show that the common view of associating one symmetry algebra to a given ...
Vincent Caudrelier, Nicolas Crampé
doaj +1 more source
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT A finite group G$$ G $$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on G$$ G $$. We present conditions and obstructions to mixability. We show that 2‐groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite ...
Gideon Amir +3 more
wiley +1 more source
On complete reducibility in characteristic $p$ [PDF]
Épijournal de Géométrie Algébrique, 2017 Let $G$ be a reductive group over a field $k$ which is algebraically closed of characteristic $p \neq 0$. We prove a structure theorem for a class of subgroup schemes of $G$, for $p$ bounded below by the Coxeter number of $G$.
V. Balaji +2 more
doaj +1 more source