Results 91 to 100 of about 5,391,081 (192)

Eigenvalue systems for integer orthogonal bases of multi-matrix invariants at finite N

Journal of High Energy Physics
Multi-matrix invariants, and in particular the scalar multi-trace operators of N $$ \mathcal{N} $$ = 4 SYM with U(N) gauge symmetry, can be described using permutation centraliser algebras (PCA), which are generalisations of the symmetric group algebras ...
Adrian Padellaro, Sanjaye Ramgoolam, Ryo Suzuki   +2 more
doaj   +1 more source

Semistability of Artin and Coxeter Groups

Journal of Pure and Applied Algebra, 1996
In this paper all spaces are locally finite \(CW\)-complexes. If \(A\) is a subset of a space then \(St(A)\) is the union of all cells that intersect \(A\). Define \(St^n(A)\equiv St(St^{n-1}(A))\) for \(n\geq 1\) (here \(St^0(A)\equiv A\)). A continuous function \(f\) mapping the space \(X\) to the space \(Y\) is proper if for each compact set \(C ...
openaire   +1 more source

Braid groups and Artin groups [PDF]

, 2009
This article is a survey on the braid groups, the Artin groups, and the Garside groups. It is a presentation, accessible to non-experts, of various topological and algebraic aspects of these groups. It is also a report on three points of the theory: the faithful linear representations, the cohomology, and the geometrical representations.
openaire   +2 more sources

Topological Complexity of Configuration Spaces [PDF]

, 2010
In this thesis we study the homotopy invariant TC(X); the topological complexity of a space X. This invariant, introduced by Farber in [15], was originally motivated by a problem in Robotics; the motion planning problem.
COSTA, ARMINDO,EMANUEL, Costa, Armindo Emanuel   +1 more
core  

Basic Questions on Artin-Tits groups

, 2011
This paper is a short survey on four basic questions on Artin-Tits groups: the torsion, the center, the word problem, and the cohomology ($K(\pi,1)$ problem).
Paris, Luis, Godelle, Eddy
core   +4 more sources

Injections of Artin groups

Commentarii Mathematici Helvetici, 2007
We study those Artin groups which, modulo their centers, are finite index subgroups of the mapping class group of a sphere with at least 5 punctures. In particular, we show that any injective homomorphism between these groups is given by a homeomorphism of a punctured sphere together with a map to the integers.
Bell, Robert W., Margalit, Dan
openaire   +3 more sources

On Certain 3-Generator Artin Groups [PDF]

Transactions of the American Mathematical Society, 1987
The author considers three infinite 3-generator Artin groups \[ S= \] \[ T= \] \[ U=. \] Their Coxeter diagrams are the smallest for which the groups are infinite. The main result is that S, T, and U are semidirect products of a free group of countable, infinite rank with an appropriate 2-generator Artin group.
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Artin groups associated to infinite Coxeter groups

Discrete Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SALVETTI, MARIO, Stumbo F.
openaire   +4 more sources

ARTIN BRAID GROUPS AND HOMOTOPY GROUPS

, 2008
. We study the Brunnian subgroups and the boundary Brunnian subgroups of the Artin braid groups. The general higher homotopy groups of the sphere are given by mirror symmetric elements in the quotient groups of the Artin braid groups modulo the boundary ...
Jie Wu, Li, J., Jingyan Li, Wu, J.
core   +1 more source

Characterising large-type Artin groups

We show that the class of large-type Artin groups is invariant under isomorphism, in stark contrast with the corresponding situation for Coxeter groups. We obtain this result by providing a purely algebraic characterisation of large-type Artin groups (i ...
Vaskou, Nicolas, Martin, Alexandre; id_orcid   +1 more
core   +1 more source