Results 71 to 80 of about 342 (179)

On a subgroup of the affine Weyl group C˜4

International Journal of Mathematics and Mathematical Sciences, 2000
We study a subgroup of the affine Weyl group C˜4 and show that this subgroup is a homomorphic image of the triangle group Δ(3,4,4).
Muhammad A. Albar
doaj   +1 more source

On the Topology of the Cambrian Semilattices [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
For an arbitrary Coxeter group $W$, David Speyer and Nathan Reading defined Cambrian semilattices $C_{\gamma}$ as certain sub-semilattices of the weak order on $W$.
Myrto Kallipoliti, Henri Mühle
doaj   +1 more source

Cohomology of Coxeter groups and Artin groups [PDF]

Mathematical Research Letters, 2000
For an irreducible Coxeter system \((W,S)\), with the group \(W\) finite, the authors construct an explicit free resolution \((C_*,\delta_*)\) of the trivial \(\mathbb{Z}[W]\)-module \(\mathbb{Z}\). In dimension \(k\), \(C_k\) is the free \(\mathbb{Z}[W]\)-module on the flags of subsets of \(S\) of cardinality \(k\). If \(n\) is the rank of \(W\), then
DE CONCINI, Corrado, SALVETTI M.
openaire   +3 more sources

Torsion classes of extended Dynkin quivers over commutative rings

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
wiley   +1 more source

The 𝐶-Version Segal-Bargmann Transform for Finite Coxeter Groups Defined by the Restriction Principle

Advances in Mathematical Physics, 2011
We apply a special case, the restriction principle (for which we give a definition simpler than the usual one), of a basic result in functional analysis (the polar decomposition of an operator) in order to define 𝐶𝜇,𝑡, the 𝐶-version of the Segal-Bargmann
Stephen Bruce Sontz
doaj   +1 more source

Spectra of graphs and the spectral criterion for property (T)

Electronic Journal of Graph Theory and Applications, 2017
For a finite connected graph $X$, we consider the graph $RX$ obtained from $X$ by associating a new vertex to every edge of $X$ and joining by edges the extremities of each edge of $X$ to the corresponding new vertex.
Alain Valette
doaj   +1 more source

Combination theorems for Wise's power alternative

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen, Alexandre Martin, Giovanni Sartori   +2 more
wiley   +1 more source

Decomposition of Polyharmonic Functions with Respect to the Complex Dunkl Laplacian

Journal of Inequalities and Applications, 2010
Let Ω be a G-invariant convex domain in ℂN including 0, where G is a complex Coxeter group associated with reduced root system R⊂ℝN. We consider holomorphic functions f defined in Ω which are Dunkl polyharmonic, that
Guangbin Ren, Helmuth R. Malonek
doaj   +1 more source

N-fold Symmetric Quasicrystallography as the projection of the Affine Coxeter group W_a(B_n)

Sultan Qaboos University Journal for Science
Quasicrystals are obtained as the projections of higher dimensional cubic lattices. This paper aims to show that the affine dihedral subgroup Wa(I2(h)) of the affine group Wa(Bn), h = 2n being the Coxeter number, offers a different perspective to -fold ...
Nazife Ozdes Koca, Mehmet Koca, Ramazan Koc, Amira Al Maqbali   +3 more
doaj   +1 more source

On Embeddability of Coxeter Groups into the Riordan Group

The American Mathematical Monthly
We discuss examples of linear representations of finite groups as subgroups of the Riordan group. In particular, we show that the symmetric group of degree three has no faithful representation as a subgroup of the Riordan group over the complex numbers, but can be embedded as a subgroup of the Riordan group over a field of characteristic three.
Tian-Xiao He, Nikolai A. Krylov
openaire   +2 more sources