Results 11 to 20 of about 21,830 (196)
Twist-rigid Coxeter groups [PDF]
Geometry & Topology, 2009 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.
Bourbaki +3 more
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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 +2 more
doaj +2 more sources
Dimensionally Resolved Nanostructures of an Atomically Precise and Optically Active 1D van der Waals Helix. [PDF]
Adv MaterThe ability to grow nanostructures based on inorganic helical crystals with long‐range order will enable a platform to realize physical states that arise from chirality. Herein, it is demonstrated that controlled vapor phase deposition of an atomically precise helical crystal, GaSI, into ultrathin 1D nanowires and quasi‐2D nanoribbons.
Dold KG +15 more
europepmc +2 more sources
Shadows in Coxeter Groups [PDF]
Annals of Combinatorics, 2020 AbstractFor a givenwin a Coxeter groupW, the elementsusmaller thanwin Bruhat order can be seen as the end alcoves of stammering galleries of typewin the Coxeter complex$$\Sigma $$Σ. We generalize this notion and consider sets of end alcoves of galleries that are positively folded with respect to certain orientation$$\phi $$ϕof$$\Sigma $$Σ.
Graeber, Marius, Schwer, Petra
openaire +6 more sources
Brain Morphology in Extraordinary Geometrician Harold Coxeter: implications for connectivity [PDF]
Alzheimers DementAbstract Background While extensive research has examined brain‐behavior relationships in cognitive decline, far less study of the other extreme has been done with super‐agers or those with extraordinary abilities. Harold Coxeter (HC), an extraordinary geometrician (Figure 1), considered one of the foremost mathematical minds of the 20th century ...
Scott C +7 more
europepmc +2 more sources
Incoherent Coxeter Groups [PDF]
Proceedings of the American Mathematical Society, 2016 10 pages, 2 ...
Jankiewicz, Kasia, Wise, Daniel T.
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COXETER COVERS OF THE CLASSICAL COXETER GROUPS [PDF]
International Journal of Algebra and Computation, 2010 Let C(T) be a generalized Coxeter group, which has a natural map onto one of the classical Coxeter groups, either Bn or Dn. Let CY(T) be a natural quotient of C(T), and if C(T) is simply-laced (which means all the relations between the generators has order 2 or 3), CY(T) is a generalized Coxeter group, too. Let At,n be a group which contains t Abelian
Amram, Meirav +2 more
openaire +3 more sources
Geometriae Dedicata, 2008 A solution of the isomorphism problem is presented for the class of Coxeter groups W that have a finite set of Coxeter generators S such that the underlying graph of the presentation diagram of the system (W,S) has the property that every cycle of length at least four has a cord.
Ratcliffe, John G., Tschantz, Steven T.
openaire +3 more sources
k-Parabolic Subspace Arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 In this paper, we study k-parabolic arrangements, a generalization of the k-equal arrangement for any finite real reflection group. When k=2, these arrangements correspond to the well-studied Coxeter arrangements.
Christopher Severs, Jacob White
doaj +1 more source
Artin group injection in the Hecke algebra for right-angled groups [PDF]
, 2018 For any Coxeter system we consider the algebra generated by the projections over the parabolic quotients. In the finite case it turn out that this algebra is isomorphic to the monoid algebra of the Coxeter monoid (0-Hecke algebra).
Sentinelli, Paolo
core +2 more sources