Results 51 to 60 of about 21,830 (196)
An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
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Boyd-Maxwell ball packings [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In fact, the observed fractals are exactly the ball packings described by Boyd and Maxwell.
Hao Chen, Jean-Philippe Labbé
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Coxeter groups and Kähler groups [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2013 AbstractWe study homomorphisms from Kähler groups to Coxeter groups. As an application, we prove that a cocompact complex hyperbolic lattice (in complex dimension at least 2) does not embed into a Coxeter group or a right-angled Artin group. This is in contrast with the case ofrealhyperbolic lattices.
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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Conjugacy of Coxeter elements [PDF]
, 2013 For a Coxeter group (W,S), a permutation of the set S is called a Coxeter word and the group element represented by the product is called a Coxeter element.
Eriksson, Henrik, Eriksson, Kimmo
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Presentations of the braid group of the complex reflection group G(d,d,n)$G(d,d,n)$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We show that the braid group associated to the complex reflection group G(d,d,n)$G(d,d,n)$ is an index d$d$ subgroup of the braid group of the orbifold quotient of the complex numbers by a cyclic group of order d$d$. We also give a compatible presentation of G(d,d,n)$G(d,d,n)$ and its braid group for each tagged triangulation of the disk with ...
Francesca Fedele, Bethany Rose Marsh
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Some remarks on the algebraic structure of the finite Coxeter group F4
International Journal of Mathematics and Mathematical Sciences, 1999 We consider in this paper the algebraic structure and some properties of the finite Coxeter group F4.
Muhammad A. Albar, Norah Al-Saleh
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Coxeter group structure of cosmological billiards on compact spatial manifolds
, 2008 We present a systematic study of the cosmological billiard structures of Einstein-p-form systems in which all spatial directions are compactified on a manifold of nontrivial topology.
Henneaux, Marc +2 more
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Topology and its Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Variants of a theorem of Macbeath in finite‐dimensional normed spaces
Mathematika, Volume 72, Issue 2, April 2026.Abstract A classical theorem of Macbeath states that for any integers d⩾2$d \geqslant 2$, n⩾d+1$n \geqslant d+1$, d$d$‐dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by inscribed convex polytopes with n$n$ vertices.
Zsolt Lángi, Shanshan Wang
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