Results 61 to 70 of about 304 (161)
, 2022 After the investigation of the congruent and non-congruent hyperball packings related to doubly truncated Coxeter orthoscheme tilings [Acta Univ. Sapientiae, Mathematica, 11, 2 (2019), 437–459], we consider the corresponding covering problems.
Szirmai, Jenő, Eper, Miklós
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Special involutions and bulky parabolic subgroups in finite Coxeter groups
, 2005 The conjugacy classes of so-called special involutions parameterize the constituents of the action of a finite Coxeter group on the cohomology of the complement of its complexified hyperplane arrangement.
Röhrle, Gerhard +3 more
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Lattice and order properties of the poset of regions in a hyperplane arrangement [PDF]
, 2003 We show that the poset of regions (with respect to a canonical base region)of a supersolvable hyperplane arrangement is a congruence normal lattice. Specifically,the poset of regions of a supersolvable arrangement of rank k is obtained via a sequenceof ...
Nathan Reading, Reading, Nathan
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Bases of the contact-order filtration of derivations of Coxeter arrangements [PDF]
Proceedings of the American Mathematical Society, 2005 In a recent paper, we constructed a basis for the contact-order filtration of the module of derivations on the orbit space of a finite real reflection group acting on an ℓ
openaire +3 more sources
On Perverse sheaves of a Coxeter hyperplane arrangement of type $\mathcal{A}_n$
, 2022 Comments are ...
Dubey, Umesh V, Sarkar, Subham
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Deformations of Coxeter hyperplane arrangements and their characteristic polynomials
, 1998 Let A be a Coxeter hyperplane arrangement, that is the arrangement of reflecting hyperplanes of an irreducible finite Coxeter group. A deformation of A is an affine arrangement each of whose hyperplanes is parallel to some hyperplane of A. We survey some
Christos A. Athanasiadis
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Programmable Self-Assembly of Nanoplates into Bicontinuous Nanostructures. [PDF]
ACS Nano, 2023 Tanaka H, Dotera T, Hyde ST.
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Hopf structures on Coxeter species
, 2018 Many classical objects in combinatorics are closely related to the symmetric group, and can be generalized to the setting of Coxeter groups. In a different direction, many classical objects in combinatorics have the structure of a Hopf monoid, which ...
Andres Rodriguez Rey
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Facial weak order, Coxeter groups and oriented matroids [PDF]
, 2019 On étudie l'ordre faible facial, un poset introduit par Krob, Latapy, Novelli, Phan et Schwer à FPSAC 2001 sur les groupes symétriques. L'ordre faible facial est une extension de l'ordre faible d'un groupe de Coxeter fini W à l'ensemble des faces du ...
Dermenjian, Aram
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On Free Deformations of the Braid Arrangement
, 1997 We classify the hyperplane arrangements between the cones of the braid arrangement and the Shi arrangement of type A n\Gamma1 which are free, in the sense of Terao. We also prove that the cones of the extended Shi arrangements of type A n\Gamma1 are free,
Christos A. Athanasiadis +1 more
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