Results 31 to 40 of about 21,101 (195)
International Journal of Algebra and Computation, 2020 Much is known about random right-angled Coxeter groups (i.e., right-angled Coxeter groups whose defining graphs are random graphs under the Erdös–Rényi model). In this paper, we extend this model to study random general Coxeter groups and give some results about random Coxeter groups, including some information about the homology of the nerve of a ...
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FCC, BCC and SC Lattices Derived from the Coxeter-Weyl groups and quaternions
Sultan Qaboos University Journal for Science, 2014 We construct the fcc (face centered cubic), bcc (body centered cubic) and sc (simple cubic) lattices as the root and the weight lattices of the affine extended Coxeter groups W(A3) and W(B3)=Aut(A3).
Nazife Özdeş Koca +2 more
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Submaximal factorizations of a Coxeter element in complex reflection groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 When $W$ is a finite reflection group, the noncrossing partition lattice $NC(W)$ of type $W$ is a very rich combinatorial object, extending the notion of noncrossing partitions of an $n$-gon.
Vivien Ripoll
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Symmetries of Calabi-Yau prepotentials with isomorphic flops
Journal of High Energy Physics, 2023 Calabi-Yau threefolds with infinitely many flops to isomorphic manifolds have an extended Kähler cone made up from an infinite number of individual Kähler cones. These cones are related by reflection symmetries across flop walls.
Andre Lukas, Fabian Ruehle
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Antilinear deformations of Coxeter groups, an application to Calogero models [PDF]
, 2010 We construct complex root spaces remaining invariant under antilinear involutions related to all Coxeter groups. We provide two alternative constructions: One is based on deformations of factors of the Coxeter element and the other based on the ...
Andreas Fring +13 more
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Coxeter groups as Beauville groups [PDF]
Monatshefte für Mathematik, 2015 We generalize earlier work of Fuertes and Gonz lez-Diez as well as earlier work of Bauer, Catanese and Grunewald to Coxeter groups in general by classifying which of these are strongly real Beauville groups. As a consequence of this we determine which of these groups are Beauville groups.
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Completely positive maps for imprimitive complex reflection groups
Karpatsʹkì Matematičnì Publìkacìï, 2021 In 1994, M. Bożejko and R. Speicher proved the existence of completely positive quasimultiplicative maps from the group algebra of Coxeter groups to the set of bounded operators.
H. Randriamaro
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Involution products in Coxeter groups [PDF]
, 2011 For W a Coxeter group, let = {w ∈ W | w = xy where x, y ∈ W and x 2 = 1 = y 2}. It is well known that if W is finite then W = . Suppose that w ∈ . Then the minimum value of ℓ(x) + ℓ(y) – ℓ(w), where x, y ∈ W with w = xy and x 2 = 1 = y 2, is called
Carter R. W., P. J. Rowley, S. B. Hart
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Bender–Knuth Billiards in Coxeter Groups
Forum of Mathematics, SigmaLet $(W,S)$ be a Coxeter system, and write $S=\{s_i:i\in I\}$ , where I is a finite index set. Fix a nonempty convex subset $\mathscr {L}$ of W. If W is of type A, then $\mathscr {L}$ is the set of linear extensions of a poset,
Grant Barkley +4 more
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On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants
Bulletin of Mathematical Sciences, 2021 Recently, the first named author defined a 2-parametric family of groups Gnk [V. O. Manturov, Non–reidemeister knot theory and its applications in dynamical systems, geometry and topology, preprint (2015), arXiv:1501.05208].
Vassily O. Manturov +3 more
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