Results 41 to 50 of about 3,662 (92)
Shift orbits for elementary representations of Kronecker quivers
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Let r∈N⩾3$r \in \mathbb {N}_{\geqslant 3}$. We denote by Kr$K_r$ the wild r$r$‐Kronecker quiver with r$r$ arrows γi:1⟶2$\gamma _i \colon 1 \longrightarrow 2$ and consider the action of the group Gr⊆Aut(Z2)$G_r \subseteq \operatorname{Aut}(\mathbb {Z}^2)$ generated by δ:Z2⟶Z2,(x,y)↦(y,x)$\delta \colon \mathbb {Z}^2 \longrightarrow \mathbb {Z}^2,
Daniel Bissinger
wiley +1 more source
(Non‐)existence of Cannon–Thurston maps for Morse boundaries
Bulletin of the London Mathematical Society, Volume 57, Issue 2, Page 463-471, February 2025.Abstract We show that the Morse boundary exhibits interesting examples of both the existence and non‐existence of Cannon–Thurston maps for normal subgroups, in contrast with the hyperbolic case.
Ruth Charney +4 more
wiley +1 more source
Structural Properties of the Cambrian Semilattices -- Consequences of Semidistributivity [PDF]
, 2015 The $\gamma$-Cambrian semilattices $\mathcal{C}_{\gamma}$ defined by Reading and Speyer are a family of meet-semilattices associated with a Coxeter group $W$ and a Coxeter element $\gamma\in W$, and they are lattices if and only if $W$ is finite.
Mühle, Henri
core
Basis of Hecke algebras - associated to Coxeter groups - via matrices of inversion for permutations
, 2016 Applying the matrices of inversion for permutations, we show that every element of S_{n} associates a unique canonical word in the Hecke algebra H_{n-1}(z). That provides an effective and simple algorithm for counting a linear basis of Hecke algebra H_{n}
E. Elrifai
semanticscholar +1 more source
Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibres
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and at certain non‐generic stability conditions via a study of collapsing fibres in the associated variation of GIT map, unifying and generalising earlier results of the ...
Lukas Bertsch +2 more
wiley +1 more source
The excedance quotient of the Bruhat order, quasisymmetric varieties, and Temperley–Lieb algebras
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract Let Rn=Q[x1,x2,…,xn]$R_n=\mathbb {Q}[x_1,x_2,\ldots ,x_n]$ be the ring of polynomials in n$n$ variables and consider the ideal ⟨QSymn+⟩⊆Rn$\langle \mathrm{QSym}_{n}^{+}\rangle \subseteq R_n$ generated by quasisymmetric polynomials without constant term. It was shown by J. C. Aval, F. Bergeron, and N. Bergeron that dim(Rn/⟨QSymn+⟩)=Cn$\dim \big
Nantel Bergeron, Lucas Gagnon
wiley +1 more source
Cluster realisations of ıquantum$\imath {\rm quantum}$ groups of type AI
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract The ıquantum$\imath {\rm quantum}$ group Unı${\mathrm{U}^\imath _{n}}$ of type AIn$\textrm {AI}_n$ is a coideal subalgebra of the quantum group Uq(sln+1)$U_q(\mathfrak {sl}_{n+1})$, associated with the symmetric pair (sln+1,son+1)$(\mathfrak {sl}_{n+1},\mathfrak {so}_{n+1})$.
Jinfeng Song
wiley +1 more source
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract Let G$\mathbf {G}$ be either a simple linear algebraic group over an algebraically closed field of characteristic ℓ>0$\ell >0$ or a quantum group at an ℓ$\ell$‐th root of unity. We define a tensor ideal of singular G$\mathbf {G}$‐modules in the category Rep(G)$\mathrm{Rep}(\mathbf {G})$ of finite‐dimensional G$\mathbf {G}$‐modules and study ...
Jonathan Gruber
wiley +1 more source
Valuative invariants for large classes of matroids
Journal of the London Mathematical Society, Volume 110, Issue 3, September 2024.Abstract We study an operation in matroid theory that allows one to transition a given matroid into another with more bases via relaxing a stressed subset. This framework provides a new combinatorial characterization of the class of (elementary) split matroids.
Luis Ferroni, Benjamin Schröter
wiley +1 more source
Quiver Presentations for Descent Algebras of Exceptional Type
, 2008 The descent algebra of a finite Coxeter group $W$ is a basic algebra, and as such it has a presentation as quiver with relations. In recent work, we have developed a combinatorial framework which allows us to systematically compute such a quiver ...
Pfeiffer, Goetz
core +1 more source