Results 131 to 140 of about 2,142 (221)

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

Symmetrical distributions of aminoacyl-tRNA synthetases during the evolution of the genetic code. [PDF]

Theory Biosci, 2023
José MV, Bobadilla JR, Zamudio GS, de Farías ST.   +3 more
europepmc   +1 more source

The (2,4,5) Triangle Coxeter Group is not systolic

, 2017
We prove that the (2,4,5) Coxeter group is not systolic.Nous montrons que le groupe de (2,4,5) triangle Coxeter est pas ...
Wilks, Adam
core  

M-theory, black holes and cosmology. [PDF]

Proc Math Phys Eng Sci, 2021
Kallosh R.
europepmc   +1 more source

Ratios of dual generic degrees of a finite Coxeter group

, 1984
A formula is obtained for the ratio of dual generic degrees of a finite Coxeter group.
Dean Alvis
core   +1 more source

Zero excess and minimal length in finite coxeter groups

Let \mathcal{W} be the set of strongly real elements of W, a Coxeter group. Then for $w \in \mathcal{W}$, $e(w)$, the excess of w, is defined by $e(w) = \min min \{l(x)+l(y) - l(w)| w = xy; x^2 = y^2 =1}$.
Rowley, P.J., Hart, Sarah B.
core  

On cosets in coxeter groups

, 2012
In this paper the notion of Coxeter length for a subset of a Coxeter group is investigated for various subsets of a Coxeter group. Mostly cosets of various subgroups are examined as well as the associated idea of X-posets, which is a vast generalization ...
Rowley, Peter J.; id_orcid, Rowley, P.J., Hart, Sarah, Hart, Sarah B.   +3 more
core   +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

Spacelike Singularities and Hidden Symmetries of Gravity

Living Reviews in Relativity, 2008
We review the intimate connection between (super-)gravity close to a spacelike singularity (the “BKL-limit”) and the theory of Lorentzian Kac-Moody algebras.
Henneaux Marc, Persson Daniel, Spindel Philippe   +2 more
doaj  

Twist-rigid Coxeter groups

, 2010
We prove that two angle-compatible Coxeter generating sets of a given finitely generated Coxeter group are conjugate provided one of them does not admit any elementary twist.
Caprace, Pierre-Emmanuel, Przytycki, Piotr, Piotr Przytycki, Pierre-Emmanuel Caprace   +3 more
core   +1 more source