Results 101 to 110 of about 51,088 (236)

Artin Groups and Yokonuma–Hecke Algebras [PDF]

International Mathematics Research Notices, 2017
We attach to every Coxeter system (W,S) an extension C_W of the corresponding Iwahori-Hecke algebra. We construct a 1-parameter family of (generically surjective) morphisms from the group algebra of the corresponding Artin group onto C_W. When W is finite, we prove that this algebra is a free module of finite rank which is generically semisimple.
openaire   +2 more sources

Residual finiteness of certain 2-dimensional Artin groups [PDF]

, 2020
Kasia Jankiewicz
openalex   +1 more source

Extra-large type Artin groups are hierarchically hyperbolic [PDF]

, 2021
M. Hagen, Alexandre Martin, Alessandro Sisto   +2 more
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Artin groups and infinite Coxeter groups

Inventiones Mathematicae, 1983
A Coxeter matrix over a finite set I is a symmetric matrix with entries in \(N\cup \{\infty \},\) where \(m_{ii}=1\) for \(i\in I\) and \(m_{ij}\geq 2\) for \(i\neq j\in I.\) The Artin group for this matrix has generating set \(\{a_ i:\quad i\in I\}\) and for each pair \(i\neq j\) with \(m_{ij}
SCHUPP, P.E., Appel, K.I.
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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

Normal points on Artin–Schreier curves over finite fields

Comptes Rendus. Mathématique
In 2022, S. D. Cohen and the two authors introduced and studied the concept of $(r, n)$-freeness on finite cyclic groups $G$ for suitable integers $r$, $n$, which is an arithmetic way of capturing elements of special forms that lie in the subgroups of $G$
Kapetanakis, Giorgos, Reis, Lucas
doaj   +1 more source

Hurwitz stabilisers of some short redundant Artin systems for the braid group Br_3 [PDF]

, 2004
Michael Lönne
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Covers of D-Type Artin Groups

The Electronic Journal of Combinatorics, 2017
We study certain quotients of generalized Artin groups which have a natural map onto D-type Artin groups, where the generalized Artin group $A(T)$ is defined by a signed graph $T$. Then we find a certain quotient $G(T)$ according to the graph $T$, which also have a natural map onto $A(D_n)$. We prove that $G(T)$ is isomorphic to a semidirect product of
Amram, Meirav, Shwartz, Robert, Teicher, Mina   +2 more
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A Garside presentation for Artin-Tits groups of type $\tilde C_n$ [PDF]

, 2010
François Digne
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Cubulation of some triangle-free Artin groups

, 2022
Thomas Haettel
openalex   +2 more sources