Results 151 to 160 of about 3,228 (247)

Irreducible Coxeter groups

, 2005
We prove that a non-spherical irreducible Coxeter group is (directly) indecomposable and that a non-spherical and non-affine Coxeter group is strongly indecomposable in the sense that all its finite index subgroups are (directly) indecomposable. We prove
Paris, Luis
core  

Special matchings and Coxeter groups

, 2007
In the recent paper [Adv. Applied Math., 38 (2007), 210-226] it is proved that the special matchings of permutations generate a Coxeter group. In this paper we generalize this result to a class of Coxeter groups which includes many Weyl and affine Weyl ...
Marietti, M., F. BRENTI, CASELLI, FABRIZIO, M. MARIETTI, CASELLI F, Marietti, M, BRENTI, FRANCESCO, Caselli, F, BRENTI F, Brenti, F, MARIETTI, Mario   +10 more
core   +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

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  

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  

Orthogonality relations for deep level Deligne–Lusztig schemes of Coxeter type

Forum of Mathematics, Sigma
In this paper, we prove some orthogonality relations for representations arising from deep level Deligne–Lusztig schemes of Coxeter type. This generalizes previous results of Lusztig [Lus04], and of Chan and the second author [CI21b].
Olivier Dudas, Alexander B. Ivanov
doaj   +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

Advancing mathematics by guiding human intuition with AI. [PDF]

Nature, 2021
Davies A, Veličković P, Buesing L, Blackwell S, Zheng D, Tomašev N, Tanburn R, Battaglia P, Blundell C, Juhász A, Lackenby M, Williamson G, Hassabis D, Kohli P.   +13 more
europepmc   +1 more source

Hurwitz action in Coxeter groups and elliptic Weyl groups

, 2017
Wegener P. Hurwitz action in Coxeter groups and elliptic Weyl groups. Bielefeld: Universität Bielefeld; 2017.We investigate the Hurwitz action on reduced decompositions of (quasi-)Coxeter elements in Coxeter groups and elliptic Weyl ...
Wegener, Patrick
core  

Convex cocompactness for Coxeter groups

60 pages, 8 figuresInternational audienceWe investigate representations of Coxeter groups into GL(n,R) as geometric reflection groups which are convex cocompact in the projective space P(R^n).
Guéritaud, François, Danciger, Jeffrey, Marquis, Ludovic, Kassel, Fanny, Lee, Gye-Seon   +4 more
core   +1 more source