Results 11 to 20 of about 23,334 (203)
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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Coxeter's enumeration of Coxeter groups [PDF]
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
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The Sorting Order on a Coxeter Group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Let $(W,S)$ be an arbitrary Coxeter system. For each sequence $\omega =(\omega_1,\omega_2,\ldots) \in S^{\ast}$ in the generators we define a partial order― called the $\omega \mathsf{-sorting order}$ ―on the set of group elements $W_{\omega} \subseteq W$
Drew Armstrong
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Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence
Mathematics, 2021 In this note, we first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way).
Steven Duplij
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A Special Class of Rank 10 and 11 Coxeter Groups [PDF]
, 2006 In the course of investigating regular subalgebras of E(10) related to cosmological solutions of 11-dimensional supergravity supporting an electric 4-form field, a class of rank 10 Coxeter subgroups of the Weyl group of E(10) was uncovered (hep-th ...
Daniel Persson +5 more
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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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International Journal of Mathematics and Mathematical Sciences, 2000 We show that the Coxeter group Dn is the split extension of n−1 copies of Z2 by Sn for a given action of Sn described in the paper. We also find the centre of Dn and some of its other important subgroups.
M. A. Albar, Norah Al-Saleh
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Electrocatalytic CN Coupling: Advances in Urea Synthesis and Opportunities for Alternative Products. [PDF]
ChemSusChemThis review explores electrocatalytic urea synthesis via carbon–nitrogen (CN) coupling from CO2 and nitrogen species, specifically nitrate, nitrite, nitric oxide, and nitrogen gas. It discusses recent discoveries in catalyst design, reaction pathways, and detection methods. Future outlooks on industrial applications, alternative CN coupling products,
Ballard-Kyle P, Hsieh I, Zhu H.
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On a four-generator Coxeter group
International Journal of Mathematics and Mathematical Sciences, 2000 We study one of the 4-generator Coxeter groups and show that it is SQ-universal (SQU). We also study some other properties of the group.
Muhammad A. Albar
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PT-symmetric deformations of Calogero models [PDF]
, 2008 We demonstrate that Coxeter groups allow for complex PT-symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A2 and G2-Coxeter group and apply these constructions to Calogero–Moser–Sutherland ...
Andreas Fring +18 more
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