Results 91 to 100 of about 304 (161)
Grassmannians and Cluster Structures. [PDF]
Bull Iran Math Soc, 2021 Baur K.
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The integer cohomology of toric Weyl arrangements [PDF]
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then ...
Simona Settepanella
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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 ...
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, 1989 A tetrahedron having two right angles at each of two vertices was investigated by Lobachevsky (who called it a “pyramid”), Schläfli (who called it an “orthoscheme”), Wythoff (who called it “double-rectangular”), and Schoute (who called its theory ...
H.S.M. Coxeter, Coxeter, H.S.M.
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A Path-Deformation Framework for Determining Weighted Genome Rearrangement Distance. [PDF]
Front Genet, 2020 Bhatia S +5 more
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Quotients of Coxeter groups under the weak order.
, 1997 Let (W, S) be a Coxeter system. The (left) weak order on W is the partial ordering defined by the relations $x\ { l(w)\ {\rm for\ all}\ s \in J\}\cr$$for the quotient $W/W\sb{J}$ BS a subposet of ($W, {
Waugh, Debra J.
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Bergman complexes, Coxeter arrangements, and graph associahedra
, 2006 Tropical varieties play an important role in algebraic geometry. The Bergman complex B(M) and the positive Bergman complex B + (M) of an oriented matroid M generalize to matroids the notions of the tropical variety and positive tropical variety ...
Lauren Williams +2 more
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Invariants and semi-invariants in the cohomology of the complement of a reflection arrangement
, 2023 Suppose V is a finite dimensional, complex vector space, A is a finite set of codimension one subspaces of V, and G is a finite subgroup of the general linear group GL(V) that permutes the hyperplanes in A.
Douglass, J. Matthew +2 more
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Arithmetic of arithmetic Coxeter groups. [PDF]
Proc Natl Acad Sci U S A, 2019 Milea S, Shelley CD, Weissman MH.
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Characteristic Polynomials of Deformations of Coxeter Arrangements Via Levels of Regions
Discrete & Computational Geometry11 ...
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