Results 31 to 40 of about 180 (93)
A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley +1 more source
The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract Let p$p$ be a prime number and let d∈Z>0$d\in {\mathbb {Z}}_{>0}$. In this paper, following the analogy between knots and primes, we study the p$p$‐torsion growth in a compatible system of (Z/pnZ)d$({\mathbb {Z}}/p^n{\mathbb {Z}})^d$‐covers of 3‐manifolds and establish several analogues of Cuoco–Monsky's multivariable versions of Iwasawa's ...
Sohei Tateno, Jun Ueki
wiley +1 more source
The metric dimension of the annihilating-ideal graph of a finite commutative ring
, 2021 We determine the metric dimension of the annihilating-ideal graph of a local finite commutative principal ring and a finite commutative principal ring with two maximal ideals.
Dolzan, D.
core
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley +1 more source
The annihilating-ideal graph of $\mathbb{Z}_n$ is weakly perfect [PDF]
, 2016 A graph is called weakly perfect if its vertex chromatic number equals its clique number. Let $R$ be a commutative ring with identity and $\mathbb{A}(R)$ be the set of ideals with non-zero annihilator.
Izanloo, Hasan +4 more
core +1 more source
Double Copy From Tensor Products of Metric BV■‐Algebras
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten +5 more
wiley +1 more source
The category of a partitioned fan
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract In this paper the notion of an admissible partition of a simplicial polyhedral fan is introduced and the category of a partitioned fan is defined as a generalisation of the τ$\tau$‐cluster morphism category of a finite‐dimensional algebra. This establishes a complete lattice of categories around the τ$\tau$‐cluster morphism category, which is ...
Maximilian Kaipel
wiley +1 more source
Lattice bijections for string modules, snake graphs and the weak Bruhat order [PDF]
, 2021 In this paper we introduce abstract string modules and give an explicit bijection between the submodule lattice of an abstract string module and the perfect matching lattice of the corresponding abstract snake graph.
Schroll, Sibylle +2 more
core +1 more source
Zero‐curvature subconformal structures and dispersionless integrability in dimension five
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley +1 more source
On finite generation in magnitude (co)homology and its torsion
Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3434-3451, November 2024.Abstract The aim of this paper is to apply the framework developed by Sam and Snowden to study structural properties of graph homologies, in the spirit of Ramos, Miyata and Proudfoot. Our main results concern the magnitude homology of graphs introduced by Hepworth and Willerton, and we prove that it is a finitely generated functor (on graphs of bounded
Luigi Caputi, Carlo Collari
wiley +1 more source