Results 51 to 60 of about 177 (130)

Combinatorial Cremona automorphisms and Coxeter arrangement matroids

manuscripta mathematica
Abstract We explore birational geometry of matroids by investigating automorphisms of their coarse Bergman fans. Combinatorial Cremona maps provide such automorphisms of Bergman fans which are not induced by matroid automorphisms. We investigate the structure of matroids allowing combinatorial Cremona maps and prove a realizability criterion ...
Stefan Rettenmayr, Annette Werner
openaire   +2 more sources

Computations for Coxeter arrangements and Solomonʼs descent algebra: Groups of rank three and four

Journal of Symbolic Computation, 2013
In recent papers we have refined a conjecture of Lehrer and Solomon expressing the characters of a finite Coxeter group W afforded by the homogeneous components of its Orlik-Solomon algebra as sums of characters induced from linear characters of centralizers of elements of W. Our refined conjecture also relates the Orlik-Solomon characters above to the
Marcus Bishop, J. Matthew Douglass, Götz Pfeiffer, Gerhard Röhrle   +3 more
openaire   +3 more sources

Vitreous Carbon, Geometry and Topology: A Hollistic Approach. [PDF]

Nanomaterials (Basel), 2021
Mélinon P.
europepmc   +1 more source

Gated chamber complexes, simplicial arrangements and Coxeter groups

, 2015
Die vorliegende Arbeit befasst sich mit Kammerkomplexen mit der Projektionseigenschaft, welche man als Verallgemeinerung des Gebäude-Begriffs von Tits ansehen kann, mit Hyperebenenarrangements, die sich ähnlich wie Spiegelungsarrangements verhalten, sowie mit dem Isomorphieproblem für Coxetergruppen.Im ersten Teil formulieren wir einige Resultate für ...
Weigel, Christian Jens, Justus Liebig University Giessen   +1 more
openaire   +1 more source

Monitoring the photochemistry of a formazan over 15 orders of magnitude in time. [PDF]

Front Chem, 2022
Wortmann S, Kutta RJ, Nuernberger P.
europepmc   +1 more source

Recent advances in chiral nanomaterials with unique electric and magnetic properties. [PDF]

Nano Converg, 2022
Kwon J, Choi WJ, Jeong U, Jung W, Hwang I, Park KH, Ko SG, Park SM, Kotov NA, Yeom J.   +9 more
europepmc   +1 more source

Shi arrangements and low elements in affine Coxeter groups

Canadian Journal of Mathematics
AbstractGiven an affine Coxeter group W, the corresponding Shi arrangement is a refinement of the corresponding Coxeter hyperplane arrangements that was introduced by Shi to study Kazhdan–Lusztig cells for W. Shi showed that each region of the Shi arrangement contains exactly one element of minimal length in W.
Chapelier-Laget, Nathan, Hohlweg, Christophe   +1 more
openaire   +4 more sources

Grassmannians and Cluster Structures. [PDF]

Bull Iran Math Soc, 2021
Baur K.
europepmc   +1 more source

Mirror graphs: Graph theoretical characterization of reflection arrangements and finite Coxeter groups

European Journal of Combinatorics, 2017
Mirror graphs were introduced by Brešar et al. in 2004 as an intriguing class of graphs: vertex-transitive, isometrically embeddable into hypercubes, having a strong connection with regular maps and polytope structure. In this article we settle the structure of mirror graphs by characterizing them as precisely the Cayley graphs of the finite Coxeter ...
openaire   +3 more sources

A Path-Deformation Framework for Determining Weighted Genome Rearrangement Distance. [PDF]

Front Genet, 2020
Bhatia S, Egri-Nagy A, Serdoz S, Praeger CE, Gebhardt V, Francis A.   +5 more
europepmc   +1 more source