Results 51 to 60 of about 2,142 (221)

Hereditary conjugacy separability of right angled Artin groups and its applications

open access: yes, 2012
We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups.
Minasyan, Ashot
core   +1 more source

A categorification of combinatorial Auslander–Reiten quivers

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We provide a categorification of Oh and Suh's combinatorial Auslander–Reiten quivers in the simply laced case. We work within the perfectly valued derived category pvd(ΠQ)$\mathrm{pvd}(\Pi _Q)$ of the 2‐dimensional Ginzburg dg algebra of a Dynkin quiver Q$Q$.
Ricardo Canesin
wiley   +1 more source

Coxeter matroids

open access: yes, 2003
Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained work provides an intuitive and interdisciplinary treatment of Coxeter matroids, a new and beautiful generalization of ...
Borovik, Alexandre V   +7 more
core   +1 more source

Some remarks on the algebraic structure of the finite Coxeter group F4

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
We consider in this paper the algebraic structure and some properties of the finite Coxeter group F4.
Muhammad A. Albar, Norah Al-Saleh
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré   +4 more
wiley   +1 more source

An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers

open access: yes, 2014
In dimension 3 and above, Bredon cohomology gives an acurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers in any given family of subgroups.
Martin G. Fluch   +3 more
core   +1 more source

Coxeter groups and Kähler groups [PDF]

open access: yesMathematical Proceedings of the Cambridge Philosophical Society, 2013
AbstractWe study homomorphisms from Kähler groups to Coxeter groups. As an application, we prove that a cocompact complex hyperbolic lattice (in complex dimension at least 2) does not embed into a Coxeter group or a right-angled Artin group. This is in contrast with the case ofrealhyperbolic lattices.
openaire   +3 more sources

On excess in finite Coxeter groups [PDF]

open access: yesJournal of Pure and Applied Algebra, 2015
For a finite Coxeter group $W$ and $w$ an element of $W$ the `excess' of $w$ is defined to be $e(w) = \min\{\ell(x) + \ell(y) - \ell(w) \; | \; w=xy, \; x^2 = y^2 = 1\}$ where $\ell$ is the length function on $W$. Here we investigate the behaviour of $e(w)$, and a related concept reflection excess, when restricted to standard parabolic subgroups of $W$.
Hart, Sarah B.   +1 more
openaire   +4 more sources

Presentations of the braid group of the complex reflection group G(d,d,n)$G(d,d,n)$

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We show that the braid group associated to the complex reflection group G(d,d,n)$G(d,d,n)$ is an index d$d$ subgroup of the braid group of the orbifold quotient of the complex numbers by a cyclic group of order d$d$. We also give a compatible presentation of G(d,d,n)$G(d,d,n)$ and its braid group for each tagged triangulation of the disk with ...
Francesca Fedele, Bethany Rose Marsh
wiley   +1 more source

Partial normalizations of coxeter arrangements and discriminants [PDF]

open access: yes, 2012
We study natural partial normalization spaces of Coxeter arrangements and discriminants and relate their geometry to representation theory. The underlying ring structures arise from Dubrovin’s Frobenius manifold structure which is lifted (without unit)
Mond, D. (David)   +3 more
core  

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