Results 41 to 50 of about 2,366 (219)

Automorphisms of Coxeter groups [PDF]

Transactions of the American Mathematical Society, 2005
16 pages, no figures. Submitted to Trans. Amer.
openaire   +3 more sources

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
doaj   +1 more source

The galaxy of Coxeter groups [PDF]

, 2023
: In this paper we introduce the galaxy of Coxeter groups (of finite rank) – an infinite dimensional, locally finite, ranked simplicial complex which captures isomorphisms between finite rank Coxeter systems.
Yuri Santos Rego (17785967), Petra Schwer (19159130)   +1 more
core   +4 more sources

On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants

Bulletin of Mathematical Sciences, 2021
Recently, the first named author defined a 2-parametric family of groups Gnk [V. O. Manturov, Non–reidemeister knot theory and its applications in dynamical systems, geometry and topology, preprint (2015), arXiv:1501.05208].
Vassily O. Manturov, Denis A. Fedoseev, Seongjeong Kim, Igor M. Nikonov   +3 more
doaj   +1 more source

Interval groups related to finite Coxeter groups I [PDF]

, 2023
Baumeister B, Neaime G, Rees S. Interval groups related to finite Coxeter groups I. Algebraic Combinatorics . 2023;6(2).We derive presentations of the interval groups related to all quasi-Coxeter elements in the Coxeter group of type Dn.
Barbara Baumeister, Baumeister, Barbara, Georges Neaime, Sarah Rees, Rees, Sarah, Neaime, Georges   +5 more
core   +1 more source

Deodhar Elements in Kazhdan-Lusztig Theory [PDF]

Discrete Mathematics & Theoretical Computer Science, 2008
The Kazhdan-Lusztig polynomials for finite Weyl groups arise in representation theory as well as the geometry of Schubert varieties. It was proved very soon after their introduction that they have nonnegative integer coefficients, but no simple all ...
Brant Jones
doaj   +1 more source

On the rank of a Coxeter group

Journal of Group Theory, 2009
Let W be a Coxeter group with Coxeter generators S. The rank of the Coxeter system (W,S) is the cardinality |S| of S. The Coxeter system (W,S) has finite rank if and only if W is finitely generated. If (W,S) has infinite rank, then |S| = |W|, since every element of W is represented by a finite product of elements of S.
Mihalik, Michael L., Ratcliffe, John G.
openaire   +3 more sources

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.
core   +1 more source

Groups acting on CAT(0) cube complexes [PDF]

, 1997
We show that groups satisfying Kazhdan's property (T) have no unbounded actions on finite dimensional CAT(0) cube complexes, and deduce that there is a locally CAT(-1) Riemannian manifold which is not homotopy equivalent to any finite dimensional ...
Niblo, Graham, Reeves, Lawrence
core   +1 more source

Reflections and quotients in Coxeter groups

Comptes Rendus. Mathématique
We present a formula relating the set of left descents of an element of a Coxeter group with the sets of left descents of its projections on maximal quotients indexed by simple right descents.
Sentinelli, Paolo
doaj   +1 more source