Results 61 to 70 of about 21,830 (196)

Linearized Coxeter higher-spin theories

Journal of High Energy Physics
A 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, K. A. Ushakov, M. A. Vasiliev   +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

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, P. Deligne, A. J. Parameswaran   +2 more
doaj   +1 more source

Characterization of Cyclically Fully commutative elements in finite and affine Coxeter Groups [PDF]

, 2014
An element of a Coxeter group W is fully commutative if any two of its reduced decompositions are related by a series of transpositions of adjacent commuting generators. An element of a Coxeter group W is cyclically fully commutative if any of its cyclic
Pétréolle, Mathias
core  

Coxeter Groups and Random Groups [PDF]

, 2019
For every dimension d, there is an infinite family of convex co-compact reflection groups of isometries of hyperbolic d-space --- the superideal (simplicial and cubical) reflection groups --- with the property that a random group at any density less than a half (or in the few relators model) contains quasiconvex subgroups commensurable with some member
openaire   +2 more sources

On higher Jacobians, Laplace equations, and Lefschetz properties

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida, Aline V. Andrade, Rodrigo Gondim   +2 more
wiley   +1 more source

Tamari Lattices for Parabolic Quotients of the Symmetric Group [PDF]

Discrete Mathematics & Theoretical Computer Science, 2015
We present a generalization of the Tamari lattice to parabolic quotients of the symmetric group. More precisely, we generalize the notions of 231-avoiding permutations, noncrossing set partitions, and nonnesting set partitions to parabolic quotients, and
Henri Mühle, Nathan Williams
doaj   +1 more source

Special matchings in Coxeter groups

, 2016
Special matchings are purely combinatorial objects associated with a partially ordered set, which have applications in Coxeter group theory. We provide an explicit characterization and a complete classification of all special matchings of any lower ...
Caselli, Fabrizio, Marietti, Mario
core   +1 more source

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

Coxeter's enumeration of Coxeter groups

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley   +1 more source