Results 31 to 40 of about 2,142 (221)
Singular polynomials from orbit spaces [PDF]
, 2012 We consider the polynomial representation S(V*) of the rational Cherednik algebra H_c(W) associated to a finite Coxeter group W at constant parameter c.
Feigin, M., Silantyev, A.
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Automorphisms of Coxeter groups [PDF]
Transactions of the American Mathematical Society, 2005 16 pages, no figures. Submitted to Trans. Amer.
openaire +3 more sources
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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On the Affine Weyl group of type A˜n−1
International Journal of Mathematics and Mathematical Sciences, 1987 We study in this paper the affine Weyl group of type A˜n−1, [1]. Coxeter [1] showed that this group is infinite. We see in Bourbaki [2] that A˜n−1 is a split extension of Sn, the symmetric group of degree n, by a group of translations and of lattice of ...
Muhammad A. Albar
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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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The Tits alternative for non-spherical Pride groups [PDF]
, 2008 Pride groups, or 'groups given by presentations in which each defining relator involves at most two types of generators', include Coxeter groups, Artin groups, triangles of groups, and Vinberg's groups defined by periodic paired relations.
Williams, Gerald +5 more
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Projection of Polyhedra onto Coxeter Planes Described with Quaternions
Sultan Qaboos University Journal for Science, 2015 3-dimensional convex uniform polyhedra have been projected onto their corresponding Coxeter planes defined by the simple roots of the Coxeter diagram ,
Mudhahir Al-Ajmi +2 more
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An algorithm for an 𝓁2-homological test for the planarity of a graph
AKCE International Journal of Graphs and Combinatorics, 2020 Given a finite simple graph Γ, one is able to define the presentation of an associate Coxeter group and construct a CW-complex on which the associated Coxeter group acts.
Elizabeth Donovan, Timothy Schroeder
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The absolute order on the hyperoctahedral group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 The absolute order on the hyperoctahedral group $B_n$ is investigated. It is shown that every closed interval in this order is shellable, those closed intervals which are lattices are characterized and their zeta polynomials are computed. Moreover, using
Myrto Kallipoliti
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Bijections between noncrossing and nonnesting partitions for classical reflection groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We present $\textit{type preserving}$ bijections between noncrossing and nonnesting partitions for all classical reflection groups, answering a question of Athanasiadis and Reiner. The bijections for the abstract Coxeter types $B$, $C$ and $D$ are new in
Alex Fink, Benjamin Iriarte Giraldo
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