Results 21 to 30 of about 290 (179)

Coxeter groups and the PMNS matrix

European Physical Journal C: Particles and Fields, 2017
We discuss symmetries of the Lagrangian of the leptonic sector. We consider the case when this symmetry group is a Coxeter group, and identify the low energy residual symmetries with the involution generators, i.e., generators with order equal to 2.
Pritibhajan Byakti, Palash B. Pal
doaj   +1 more source

Fully commutative elements and lattice walks [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
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. These elements were extensively studied by Stembridge in the finite case.
Riccardo Biagioli, Frédéric Jouhet, Philippe Nadeau   +2 more
doaj   +1 more source

Automorphisms of Right-Angled Coxeter Groups

International Journal of Mathematics and Mathematical Sciences, 2008
If (𝑊,𝑆) is a right-angled Coxeter system, then Aut(𝑊) is a semidirect product of the group Aut∘(𝑊) of symmetric automorphisms by the automorphism group of a certain groupoid. We show that, under mild conditions, Aut∘(𝑊) is a semidirect product of Inn(𝑊)
Mauricio Gutierrez, Anton Kaul
doaj   +1 more source

Asymptotical behaviour of roots of infinite Coxeter groups I [PDF]

Discrete Mathematics & Theoretical Computer Science, 2012
Let $W$ be an infinite Coxeter group, and $\Phi$ be the root system constructed from its geometric representation. We study the set $E$ of limit points of "normalized'' roots (representing the directions of the roots).
Christophe Hohlweg, Jean-Philippe Labbé, Vivien Ripoll   +2 more
doaj   +1 more source

Electrocatalytic CN Coupling: Advances in Urea Synthesis and Opportunities for Alternative Products. [PDF]

ChemSusChem
This review explores electrocatalytic urea synthesis via carbon–nitrogen (CN) coupling from CO2 and nitrogen species, specifically nitrate, nitrite, nitric oxide, and nitrogen gas. It discusses recent discoveries in catalyst design, reaction pathways, and detection methods. Future outlooks on industrial applications, alternative CN coupling products,
Ballard-Kyle P, Hsieh I, Zhu H.
europepmc   +2 more sources

Random coxeter groups

International Journal of Algebra and Computation, 2020
Much is known about random right-angled Coxeter groups (i.e., right-angled Coxeter groups whose defining graphs are random graphs under the Erdös–Rényi model). In this paper, we extend this model to study random general Coxeter groups and give some results about random Coxeter groups, including some information about the homology of the nerve of a ...
openaire   +3 more sources

FCC, BCC and SC Lattices Derived from the Coxeter-Weyl groups and quaternions

Sultan Qaboos University Journal for Science, 2014
We construct the fcc (face centered cubic), bcc (body centered cubic) and sc (simple cubic) lattices as the root and the weight lattices of the affine extended Coxeter groups W(A3) and W(B3)=Aut(A3).
Nazife Özdeş Koca, Mehmet Koca, Muna Al-Sawafi   +2 more
doaj   +1 more source

Submaximal factorizations of a Coxeter element in complex reflection groups [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
When $W$ is a finite reflection group, the noncrossing partition lattice $NC(W)$ of type $W$ is a very rich combinatorial object, extending the notion of noncrossing partitions of an $n$-gon.
Vivien Ripoll
doaj   +1 more source

Symmetries of Calabi-Yau prepotentials with isomorphic flops

Journal of High Energy Physics, 2023
Calabi-Yau threefolds with infinitely many flops to isomorphic manifolds have an extended Kähler cone made up from an infinite number of individual Kähler cones. These cones are related by reflection symmetries across flop walls.
Andre Lukas, Fabian Ruehle
doaj   +1 more source

Coxeter groups as Beauville groups [PDF]

Monatshefte für Mathematik, 2015
We generalize earlier work of Fuertes and Gonz lez-Diez as well as earlier work of Bauer, Catanese and Grunewald to Coxeter groups in general by classifying which of these are strongly real Beauville groups. As a consequence of this we determine which of these groups are Beauville groups.
openaire   +2 more sources