Results 61 to 70 of about 17,658 (187)

Coxeter Elements and Kazhdan–Lusztig Cells

Journal of Algebra, 2002
Let \((W,S,\Gamma)\) be a Coxeter system: a Coxeter group \(W\) with \(S\) the distinguished generator set and \(\Gamma\) the Coxeter graph. A Coxeter element of \(W\) is by definition a product of all generators \(s\in S\) in any fixed order. Let \(C(W)\) be the set of all the Coxeter elements in \(W\) and let \(C_0(W)=\bigcup_{J\subset S}C(W_J ...
openaire   +2 more sources

Rigidity phenomena and the statistical properties of group actions on $\text {CAT}(0)$ cube complexes

Forum of Mathematics, Sigma
We compare the marked length spectra of some pairs of proper and cocompact cubical actions of a nonvirtually cyclic group on $\mathrm {CAT}(0)$ cube complexes.
Stephen Cantrell, Eduardo Reyes
doaj   +1 more source

Mixability of Finite Groups

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, Guy Blachar, Subhajit Ghosh, Uzi Vishne   +3 more
wiley   +1 more source

Minimal length elements of Coxeter groups

Journal of Algebra, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +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  

Combination of open covers with π1$\pi _1$‐constraints

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3886-3901, December 2025.
Abstract Let G$G$ be a group and let F$\mathcal {F}$ be a family of subgroups of G$G$. The generalised Lusternik–Schnirelmann category catF(G)$\operatorname{cat}_\mathcal {F}(G)$ is the minimal cardinality of covers of BG$BG$ by open subsets with fundamental group in F$\mathcal {F}$.
Pietro Capovilla, Kevin Li, Clara Löh
wiley   +1 more source

Coxeter elements and Coxeter plane: A programming guide

Journal of Physics: Conference Series
Abstract In a finite Coxeter group, the product of its generating elements in any given sequence is called a Coxeter element. The Coxeter element acts on a two-dimensional plane P as a rotation, and the rotation’s order is precisely the order of the Coxeter element itself.
Ying Wang, Liang Zhao
openaire   +1 more source

The Toda-Weyl mass spectrum

Nuclear Physics B
The masses of affine Toda theories are known to correspond to the entries of a Perron-Frobenius eigenvector of the relevant Cartan matrix. The Lagrangian of the theory can be expressed in terms of a suitable eigenvector of a Coxeter element in the Weyl ...
Martin T. Luu
doaj   +1 more source

W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
wiley   +1 more source

On the fully commutative elements of Coxeter groups [PDF]

Journal of Algebraic Combinatorics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +5 more sources