Results 11 to 20 of about 336 (177)
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
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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
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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
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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
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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
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Arithmetic of arithmetic Coxeter groups. [PDF]
Proc Natl Acad Sci U S A, 2019 Significance Conway’s topograph provided a combinatorial-geometric perspective on integer binary quadratic forms—quadratic functions of two variables with integer coefficients. This perspective is practical for solving equations and easily bounds the minima of binary quadratic forms.
Milea S, Shelley CD, Weissman MH.
europepmc +7 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.
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IRREDUCIBLE COXETER GROUPS [PDF]
International Journal of Algebra and Computation, 2007 We prove that a non-spherical irreducible Coxeter group is (directly) indecomposable and that an indefinite irreducible Coxeter group is strongly indecomposable in the sense that all its finite index subgroups are (directly) indecomposable. Let W be a Coxeter group.
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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
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