Results 91 to 100 of about 336 (177)

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

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

Root cycles in Coxeter groups

Journal of Group Theory
Abstract For an element 𝑤 of a Coxeter group 𝑊, there are two important attributes, namely its length, and its expression as a product of disjoint cycles in its action on Φ, the root system of 𝑊. This paper investigates the interaction between these two features of 𝑤, introducing the notion of the crossing number of 𝑤,
Sarah Hart, Veronica Kelsey, Peter Rowley   +2 more
openaire   +1 more source

Crystallography of homophase twisted bilayers: coincidence, union lattices and space groups. [PDF]

Acta Crystallogr A Found Adv, 2023
Gratias D, Quiquandon M.
europepmc   +1 more source

Vitreous Carbon, Geometry and Topology: A Hollistic Approach. [PDF]

Nanomaterials (Basel), 2021
Mélinon P.
europepmc   +1 more source

Myosin assembly of smooth muscle: from ribbons and side polarity to a row polar helical model. [PDF]

J Muscle Res Cell Motil, 2022
Sobieszek IJ, Sobieszek A.
europepmc   +1 more source

The Coxeter group \(G^{5,5,12}\).

, 2015
Summary: The groups \(G^{l,m,n}\) are studied extensively by Coxeter. Higman has posed the question that how small \(l,m,n\) can be made while maintaining the property that all but finitely many alternating and symmetric groups are quotients of \(G^{l,m,n}\).
Ashiq, M., Imran, T.
openaire   +2 more sources

On an open problem of Green and Losonczy: exact enumeration of freely braided permutations

Discrete Mathematics & Theoretical Computer Science, 2004
Recently, Green and Losonczy~ GL1,GL2 introduced freely braided permutation as a special class of restricted permutations has arisen in representation theory.
Toufik Mansour
doaj  

Subword Complexes and Kalai's Conjecture on Reconstruction of Spheres. [PDF]

Discrete Comput Geom
Ceballos C, Doolittle J.
europepmc   +1 more source

Geometric realizations of abstract regular polyhedra with automorphism group H₃. [PDF]

Acta Crystallogr A Found Adv, 2020
Aranas JAL, Loyola ML.
europepmc   +1 more source