Results 1 to 10 of about 26,897 (288)
Area of reflection of longitudinal waves in multilayer Fibonacci arrangements [PDF]
Results in Physics, 2018 In this article, we study the total reflection in 1D phonic crystals in quasiperiodic Fibonacci type arrangements of solid/solid layers. It was found that the reflection occurs in an area centered at a normalized frequency of 2π, and an angle of ...
L. Castro-Arce +3 more
doaj +4 more sources
Inductive freeness of Ziegler's canonical multiderivations for reflection arrangements [PDF]
Journal of Algebra, 2018 Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A''$ of $A$ to any hyperplane endowed with the natural multiplicity is then a free multiarrangement. We initiate a study of the stronger freeness property of inductive freeness for these canonical free multiarrangements and investigate them for the underlying class ...
Gerhard Roehrle, Torsten Hoge
exaly +9 more sources
MAT-free Reflection Arrangements [PDF]
The Electronic Journal of Combinatorics, 2020 We introduce the class of MAT-free hyperplane arrangements which is based on the Multiple Addition Theorem by Abe, Barakat, Cuntz, Hoge, and Terao. We also investigate the closely related class of MAT2-free arrangements based on a recent generalization of the Multiple Addition Theorem by Abe and Terao.
Michael Cuntz, Paul Mücksch
openaire +5 more sources
Supersolvable restrictions of reflection arrangements
Journal of Combinatorial Theory - Series A, 2014 16 pages; final version, to appear in Journal of Combinatorial Theory, Series ...
Torsten Hoge, Gerhard Röhrle
exaly +4 more sources
Reflection arrangements are hereditarily free [PDF]
Tohoku Mathematical Journal, 2013 6 pages; to appear in Tohoku Math ...
Torsten Hoge, Gerhard Röhrle
exaly +5 more sources
Reflection arrangements and ribbon representations [PDF]
European Journal of Combinatorics, 2014 Version 3. 34 pages. Added section on additional properties of ribbon representations.
exaly +6 more sources
On inductively free restrictions of reflection arrangements
Journal of Algebra, 2014 15 pages, final version to appear in Journal of ...
Torsten Hoge, Gerhard Röhrle
exaly +3 more sources
Finite complex reflection arrangements are K(pi,1) [PDF]
Annals of Mathematics, 2015 71 pages. v5 minor fixes over v4; v4 contains an entirely rewritten Section 11, a new appendix on Garside theory, and many more improvements (most notably to Section 7).
David Bessis
exaly +4 more sources
Recursively free reflection arrangements
Journal of Algebra, 2017 26 pages, 3 figures. Corrected typos, added reference in section 5.
exaly +4 more sources
Arrangements defined by unitary reflection groups
Mathematische Annalen, 1982 Let V be a complex vector space of dimension I. An arrangement in V is a finite set d of hyperplanes, all containing the origin. Let L = L ( d ) be the set of intersections of elements of ~r Partially order L by reverse inclusion so that L has V as its minimal element and d as its set of atoms.
Louis Solomon +2 more
exaly +3 more sources