Results 51 to 60 of about 15,709 (204)
A note on the subword complexes in Coxeter groups [PDF]
, 2008 We prove that the Stanley--Reisner ideal of the Alexander dual of the subword complexes in Coxeter groups has linear quotients with respect to the lexicographical order of the minimal monomial generators. As a consequence, we obtain a shelling order on the facets of the subword complex.
Anda Olteanu
openalex +3 more sources
Relation spaces of hyperplane arrangements and modules defined by graphs of fiber zonotopes
, 2013 We study the exactness of certain combinatorially defined complexes which generalize the Orlik-Solomon algebra of a geometric lattice. The main results pertain to complex reflection arrangements and their restrictions.
Finis, Tobias, Lapid, Erez
core +1 more source
A two-sided q-analogue of the Coxeter complex [PDF]
Journal of Algebra, 2005 Let \((W,S)\) be a finite Coxeter system. Let \(R\) be a unitary commutative ring and let \(q\in R^\times\). Let \(\mathcal H\) be the Iwahori-Hecke algebra of \((W,S)\) over \(R\) with parameter \(q\). One fixes a total order \(S=\{s_i\mid 1\leq i\leq|S|\}\) on the set \(S\).
Linckelmann, M, Schroll, S
openaire +4 more sources
Metric characterizations of spherical, and Euclidean buildings
, 2001 A building is a simplicial complex with a covering by Coxeter complexes (called apartments) satisfying certain combinatorial conditions. A building whose apartments are spherical (respectively Euclidean) Coxeter complexes has a natural piecewise ...
Alexander Lytchak +9 more
core +1 more source
A Diagrammatic Temperley-Lieb Categorification
International Journal of Mathematics and Mathematical Sciences, 2010 The monoidal category of Soergel bimodules categorifies the Hecke algebra of a finite Weyl group. In the case of the symmetric group, morphisms in this category can be drawn as graphs in the plane.
Ben Elias
doaj +1 more source
Counting factorizations of Coxeter elements into products of reflections
, 2014 In this paper, we count factorizations of Coxeter elements in well-generated complex reflection groups into products of reflections. We obtain a simple product formula for the exponential generating function of such factorizations, which is expressed ...
Chapuy, Guillaume, Stump, Christian
core +3 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 +2 more
wiley +1 more source
Dimension of a minimal nilpotent orbit
, 1999 We show that the dimension of the minimal nilpotent coadjoint orbit for a complex simple Lie algebra is equal to twice the dual Coxeter number minus two.Comment: 3 pages, no ...
Wang, Weiqiang
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